log4 (3x – 1) = log4 (x + 5) Solve the equation

Answers

Answer 1

Answer:

x = 3.

Step-by-step explanation:

log4 (3x - 1) = log4 (x + 5)  Since they are both logs to the base 4:

3x - 1 = x + 5

2x = 6

x = 3.

Answer 2

On solving the logarithmic equation, we find that x = 3.

What are logarithmic equations?

A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.

[tex]log_{4}(3x-1) = log_{4}(x+5)\\\\3x-1 = x+5\\\\3x-x=5+1\\\\ 2x=6\\\\x=3[/tex]

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Related Questions

Tap the angle that is vertical to angle 4

Answers

Answer:

angle four is vertical to angle 2

Answer:

angle 2 is vertical to angle 4

yo help plz ill give branliest

Answers

Answer:

did you get it ?

Step-by-step explanation:

6+7×4+34=56 are they equal

Answers

No its not, the equation your showing right now adds up to 68

Answer:

No

Step-by-step explanation:

6+7×4+34=56

Step 1 - (PEMDAS)

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Simplify Using PEMDAS :

7 • 4 = 28

6 + 28 + 34 = 56

68 = 56 NOT EQUAL

a taxicab company charges $4.25 plus $.85 per mile. Mary Paid a fare of $12.50. Write and solve an equation to find the number of miles she traveled and describe the solution.

Pls help me!
ASAP!

Answers

(12.50 - 4.25) / 0.85 = 9.71 miles rounded

(1) The point R is halfway between the -6 and -5 on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4). ​

Answers

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

20
22
89
___*_ what is 20 times 22 times 89

Answers

Answer:

39,160

Step-by-step explanation:

20x22=440 x89=39,160

Arisia puts $500.00 into a savings account with an annual simple interest rate of 4.5%.
Part A
How much interest does she earn per year?

Answers

Answer:

$22.50

Step-by-step explanation:

$500.00 × 0.045=22.50

What is times plus 4

Answers

Answer:

you forgot the number before times

Step-by-step explanation:

Logan used 12 centimeters of tape to wrap 4 presents. How much tape will Logan need in all if he had wrap 8 presents? Assume the relationship is directly proportional.

Answers

Answer:

24 centimeters

Step-by-step explanation:

Write a linear function in slope intercept form given the slope of the equation is -4 and the y intercept is 6.

Answers

Answer:

6=-4x+b

Step-by-step explanation:

You plug in the numbers but the formula that you use is y=mx+b with x being the number you don't know

Here are several recipes for sparkling lemonade. For each recipe
describe how many tablespoons of lemonade mix it takes per cup
of sparkling water,
Recipe 1: 4 tablespoons lemonade mix and 12 cups of sparkling
water
Recipe 2: 4 tablespoons of lemonade mix and 6 cups of sparkling
water
Recipe 3: 3 tablespoons of lemonade mix and 5 cups of sparkling
water
Recipe 4: 1 tablespoon os lemonade mix and 3 cups of sparkling
water

Answers

Answer:

Recipe 1: 1/2tbs of lemonade mix per cup of sparkling water

Recipe 2: 2/3tbs per cup

Recipe 3: 3/5tbs per cup

Recipe 4: 1/3tbs per cup

Step-by-step explanation:

To find the amount of lemonade mix per cup of sparkling water, we just need to divide the amount of lemonade mix in each recipe by its respective amount of sparkling water as this will give us the average amount per cup.

Recipe 1: 4 tbs lemonade mix, 12c sparkling water.

4/12 = 1/3, Recipe 1 requires 1/3 tablespoon per cup of sparkling water.

Recipe 2: 4tbs Lemonade, 6c water

4/6 = 2/3, Recipe 2 requires 2/3 tablespoon per cup of sparkling water.

Recipe 3: 3 tbs lemon, 5c water

Recipe 3 requires 3/5 tablespoon per cup of sparkling water.

Recipe 4: 1 tbs, 3c water

Recipe 4 requires 1/3 tablespoon per cup of sparkling water.

Hope this helped!

Y=8 when x=20 find y when x= 30

Answers

Answer:

y=13

Step-by-step explanation:

if x=20 when y=8 (we can creat equation )

x=2y+4 (you can prove that the equation is correct by substitute )

so the question is if x=30 find the value of y

30=2y+4

30‒4=2y

26=2y

26/2=2y/2

13=y

i hope this helps you

can someone help me to solve this question? ​

Answers

Answer :

Width : 9

length: 3.6

The perimeter will be 25.2

-----------------------------------------------------------------------------------------------------------------

Show your work : Since the length and width are 3 times bigger have to multiply the old one by 3

so 1.2  times 3 = 3.6

so 3 times 3 = 9

thats the length

to find the perimeter its 2L + 2W

2(3.6) + 2(9)=25.2

j + 150 × 50 is a(n) ______ expression, because ______.

Answers

It’s an expression because it doesn’t have an equal sign if it did it would be an equation

Please help I’m not sure if I’m right

Answers

Answer:

C

Step-by-step explanation:

75.54*550=41,497.5

Simplify:


A.
B.
C.
D.

Answers

Answer:

C

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a

Given

[tex]\frac{|-12-3|}{4}[/tex] - [tex]\frac{|23-42|}{8}[/tex]

= [tex]\frac{|-15|}{4}[/tex] - [tex]\frac{|-19|}{8}[/tex]

= [tex]\frac{15}{4}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{15(2)}{4(2)}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{30}{8}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{30-19}{8}[/tex]

= [tex]\frac{11}{8}[/tex] → C

The simplification of the given equation is 11/8. thus option /c is correct.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output. An equation is an expression that shows the relationship between two or more numbers and variables.

The absolute value function always gives a positive result, which is;

| - a | = | a | = a

Given that | 12 - 3 |/4 - | 23 -42 | /8

| 12 - 3 |/4 - | 23 -42 | /8

| 15 |/4 - | -19 | /8

= 15/4 - 19/8

= 30/8 - 19/8

= 11/8

Therefore, the simplification of the given equation is 11/8. thus option /c is correct.

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Needed before 12:00pm tomorrow afternoon


What's the difference between how we find the sale price of discounts and how we find the total price of tax, tips, and mark ups?

Answers

To find the actual discount, multiply the discount rate by the original amount 'x'. To find the sale price, subtract the actual discount from the original amount 'x' and equate this to given sale price.

I’ll mark brainliest this is 10 points!!!

Question: If p and q are integers, then all of these quotients are equivalent, except....?

Answers

Answer:

C

Step-by-step explanation:

We can fill in the negative in front of the parenthesis with a one. So you'd be multiplying -1 by your negative fraction. A negative times a negative makes a positive. So that would be the only answer that's a positive.

Steve invested money in the stock market. In the first year, his stock increased 50%. He paid his stockbroker $350 and then lost $400. He withdrew $300, and then his remaining investment doubled. Steve's investment is now worth $8100. How much was Steve's original investment?

Answers

Answer:

Original amount invested = $3400 .

Step-by-step explanation:

Let the original investment of Steve = $x

Stock increased in the first year = 50% of amount invested

Therefore total amount after one year = x + 0.5x = 1.5x

Commission paid to the stock broker = $350

Amount lost by him = $400

Amount withdrawn by him = $300

Total amount decreased from the amount after 1 year

= 1.5x - (350 + 400 + 300)

= 1.5x - 1050

This remaining amount is doubled, so the final amount

= 2(1.5x - 1050)

= 3x - 2100

This final amount is equal to $8100

3x - 2100 = 8100

3x = 8100 + 2100

3x = 10200

x = $3400

Therefore original amount invested in the stock market was $3400 .


What number will you add to - 6x to get an answer of zero? That is, what is the Additive
Inverse of - 6x?

Answers

Answer:

if that is a negative 6  then its a positive 6 if its a positive 6 then it will be a negative

Step-by-step explanation:

Find the value of x and m

Answers

Answer:

x=5 m=3

Step-by-step explanation:

I neeeeed help
Two college friends rent an apartment. They have to pay the landlord two​ months' rent​ (m) and a​ $500 security deposit when they sign the lease. The total amounty they pay the landlord is​ $2800. Create an equation which will determine the amount of money owed for rent for one month​ (m).

Answers

Answer:

The renters have to pay 1.5 months rent before moving in (first month plus security deposit) so we can write the following equation to represent the situation:

1.5

m

=

1725

where

m

is the amount of one month's rent.

Using algebra

1.5

m

1.5

=

1725

1.5

1.5

m

1.5

=

1150

m

=

1150

The monthly rent is $1,150.

Step-by-step explanation:

Answer:

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The engine of a car has a displacement of 307 cubic inches. What is the displacement in cubic feet? Round your answer to 2 decimal places.

Answers

Answer:

5.03 L

Step-by-step explanation:

we know that 1 inch = 2.54 centimeters

 (1 inch)3 = (2.54 cm)3

1 in3 = 16.387 cm3

 

therefore

volume in cm^3 = (volume in in3) x (16.387 cm3/1 in3)

volume in cm3 = (307x 16.387) cm^3

volume in cm3 = 5030.809cm^3

let us convert to liters.

we know that

1 L = 1,000 cm3

 

volume in L = (volume in cm3) x (1 L/1,000 cm3)

volume in L = (5030.809/1,000) L

volume in L = 5.03 L

307 cubic inche engine displaces 5.03 L

How much interest would $1,000,000 earn at 2% compound daily, in one day?

Answers

Answer:

$54.79 is the answer

Step-by-step explanation:

expression is equivalent to
14

17

Answers

Answer:

14/17

Step-by-step explanation:

14/17 as a fraction can't be simplified. 17 is a prime number, so it can't be divided by anything except 1.

If the question you're asking is 14-17, the answer would be -3...

I hope this helped you out!! Have an awesome day C:

Step-by-step explanation:

if you are subtracting it is -3

if you are dividing it is 0.823

if you are looking for an equivalent fraction it is 28/34

A catering business specializes in catering wedding receptions. They charge $400 for setting up the buffet and an additional $7.50 per guest. Mr. and Mrs. Smith want to spend no more than $1600 on the catering. Write and solve an inequality to determine the number of guests that can be invited to the reception.​

Answers

Answer:

x<=160

Step-by-step explanation:

Step one:

given data

Charges= $400

Additional charges= $7.5 per guest

let the number of guests be x

let the total cost be y

the model for the situation is given as

y=mx+C

Step two:

given that y=1600

we can solve for x as

1600=7.5x+400

1600-400=7.5x

1200=7.5x

divide both sides by 7.5 we have

x=1200/7.5

x=160

Therefore the expected guest should not be more than 160

x<=160

Slope of (10,4), (4,15)

Answers

Answer:

negative 11/6

Step-by-step explanation:

(6,11)
because u have to do x1-x2=slope of x
y1-y2=slope of y

square root of 9 on a graph

Answers

Answer:

I think the answer is 3

A graph has years since group formed on the x-axis, and number of members on the y-axis. A line goes through points (2, 38) and (5, 80).
The membership of a student group is expressed by the equation y = 14x + 10, where x represents the number of years since the group was formed and y represents the number of members.

How many years will it take for the group to have 290 members?
If the group was formed in the year 2000, in what year would you expect the group to have 290 members?

Answers

Answer:

20 and 2020

Step-by-step explanation:

i got it right on edge

Answer:

The first answer is 20 and the second answer is 2020

Step-by-step explanation:

I just answered it on edge

Could you help me with these?

Answers

Step-by-step explanation:

Molly should have multiplied three first so that it would have been

x + 6 + 3x + 12

4x + 18

Dylan did not add x to 5x

it should have been

6x - 12

Jose did not multiply 7 and -5

it should have been

x + 3 + 7x - 35

8x - 32

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