243^0.2x=81^x+5

Could you please help me with the steps to this problem?​

243^0.2x=81^x+5Could You Please Help Me With The Steps To This Problem?

Answers

Answer 1

Answer:

-20/3

Step-by-step explanation:

First simplify the left side of the equation

243^(1/5x)= (243^1/5)^x

                =([tex]\sqrt[5]{243}[/tex] )^x

                = 3^x

Now that the left side is simplified,  let's move to the right side

81^(x+5)=( [tex]3^{4}[/tex])^(x+5) simplify 81 to base 3^4

             =[tex]x^{4(x+5)[/tex] use the product of powers property to multiply the exponents together

             =[tex]x^{4x+20[/tex]

With both sides simplified, let's rewrite the equation, this time in simplified terms

[tex]3^{x}[/tex]=[tex]3^{4x+20}[/tex]            

x=4x+20    because both the bases are same, their exponential value must also be equal

-3x=20 solve the algebraic equation for x

  x=[tex]-\frac{20}{3}[/tex]


Related Questions

.
Is (3, 6) a solution to this system of equations?
2x + 7y = 48
5x + 3y = 51
.

Answers

No (3,6) is the solution for the first equation only

If Samantha can make 6 bracelets in 1 hour and Payton makes 15 bracelets in 3 hours - what is the difference in the number of
bracelets they would make in 6 hours?

Answers

Samantha would make 36 bracelets in 6 hours, while Payton would make 30 bracelets in 6 hours. This means the difference in the number of bracelets they would make in 6 hours is 6 bracelets.

PLEASE HELP

Use the formula √(x2−x1)2+(y2−y1)2 to find the distance between the points(8,2) and (3,8) to the nearest tenth please

Answers

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(3-8)^2+(8-2)^2} =\sqrt{25+36 }=\sqrt{61} \approx 7.81[/tex]

Help please

Find the zeros for
y=(x-2)(x+7)

Answers

Answer:

x = 2 and x = -7

Step-by-step explanation:

To find y = 0, so you need either x - 2 =0 or x + 7 =0, so x can be 2 or -7.

If it is helpful, plz give me Brainliest.

Help I’m not sure of the answer?

Answers

Answer:

C) 1/3^32

Step-by-step explanation:

2 * -4 = -8

-8 * 4 = -32

1/3^32

Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!! :D

-Lil G

Does this graph have any vertical asymptotes? If so, where?

Answers

Answer:

There are no vertical asympotes for this rational function.

Step-by-step explanation:

For rational functions, a vertical asymptote exists for every value of the independent variable such that function become undefined, that is, such that denominator is zero. Let be the following rational function:

[tex]C(p) = \frac{25000\cdot p}{100-p}[/tex], [tex]0\le p < 100[/tex]

There is a vertical asymptote for this case:

[tex]100-p = 0[/tex]

[tex]p = 100[/tex]

Which is out of the interval given to the rational function. Hence, we conclude that there are no vertical asympotes for this rational function.

In 2010, the price of a laser printer was $1599. In 2018, the price of the same type of printer had dropped to $579. Find the percent of decrease. Round to the nearest percent.

Answers

Answer:

nearest percentage=64%

Step-by-step explanation:

math

i don’t know the answer

Answers

Answer:

C

Step-by-step explanation:

In order to be able to find the circumference in relation to radius, you have to use the formula C = 2πr

Hope this helped :)

What are the zeros of f?
A graph of f(x) = 6x2 - 11x + 3 is shown on the grid.
A 3
A
B
2 and 9
C
1 1/2 품
11
12
1
IX
6
1
2
3
4
5
-6 -5 -4 -3 -2 -1
D
and
1 2 3 4

Answers

Answer:

x= 1/3 , 3/2

step by step

that should be the right answer

How does labeling the diagram help us show that we can use right triangle congruency (SAS in this case)?

Answers

Answer:

Step-by-step explanation:

S A S congruence rule: Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of other triangle.

If two triangles are congruent by SAS, and the angle is 90, then by CPCT{corresponding part of congruent triangle)  the hypotenuse of the two triangles will be congruent.

Now, as hypotenuse  and  one leg are congruent in both triangles, we can apply RHS congruent

please help it’s due today!!!

Answers

Answer:

1=x and 2=y

Step-by-step explanation:

A 200g packet of Oreos costs $3, how much would a 50g packet cost?
HELP MY EXAM-

Answers

Answer:

0.75

Step-by-step explanation:

200g-3$

50g-x

200x=3×50

x= 3.50/200

x= 0.75

The equation 201.50=f+6.50(21) represents the cost of printing the shirts at a second printing company. Find the solution to the equation. The solution is . State what the solution represents in this situation.

Answers

Answer:

f = 65

Setup cost = 65

Step-by-step explanation:

Given the equation : 201.50=f+6.50(21)

Solving for f:

201.50 = f + 136.50

201.50 - 136.50 = f

f = 65

The equation above is written in the form a slope intercept function where,, 6.50 is the gradient and X equals the number of shirts, The total cost of printing is 201.50

f is the intercept and represents the initial fee or setup cost. Hence, the setup. Cost = 65

A rectangle has area x3 + 3x2 - 18x in.2 and width x + 6 in. What is the length in inches?​

Answers

Answer:

HOPE THIS HELPS

Step-by-step explanation:

The area = length * Width.

We know the width = X+6 inches and Area = x^3+3x^2–18x.

This problem can be solved just by dividing the area by width and we get a quotient as X^2–3x.

So the length is x^2–3x inches.

The length of the rectangle is [tex]\rm x(x-3)[/tex].

Given

The area of the rectangle = [tex]\rm x^3+3x^2-18x[/tex] square inches

The width of the rectangle = x + 6 inches

Area of the rectangle

The area of the rectangle is equal to the product of length and width of the rectangle.

Let the length of the rectangle be L.

The area of the rectangle is given by;

[tex]\rm Area \ of \ the \ rectangle =Length \times Width\\\\[/tex]

Substitute all the values in the formula;

[tex]\rm Area \ of \ the \ rectangle =Length \times Width\\\\\rm x^3+3x^2-18x= L \times (x+6)\\\\L=\dfrac{ x^3+3x^2-18x}{x+6}\\\\L = \dfrac{ x(x+6)(x-3)}{x+6}\\\\ L = x (x-3)[/tex]

Hence, the length of the rectangle is [tex]\rm x(x-3)[/tex].

To know about rectangles click the link given below.

https://brainly.com/question/14383947

[tex]n^{2} +3n-12=6[/tex]

Answers

Answer:

Step-by-step explanation:

n² + 3n - 18 = 0

n = [-3 ±√(3²-4(1)(-18)]/[2(1)] = [-3 ±√81]/2 = 3, -6

Simplify.
(-2)^4(-2)

Answers

Answer:

−32

Step-by-step explanation:

(−2)^4(−2)

=(16)(−2)

=−32

Answer:

The answer is -32

Step-by-step explanation:

I just did it.

martha can paint a room in 8 hours. jamie can paint the same room in 4 hours. how long to the nearest tenth of an hour will it take them to paint the room together

Answers

Answer:

in 1 hr martha finishes 1/8th of the room

in 1hr jaime finishes 1/4th of the room

combined in 1hr they can finish (1/8 + 1/4) = 3/8th of the room.

for painting the whole room both of them together it takes the 8/3 hrs = 2.67hr

Jasmine and 4 friends moved 23 pounds of dirt. Each friend moved the same amount of dirt. How much dirt did each friend move?​

Answers

5.75 is the answer I just wanted to help but that like button

Find the area of a triangle (A= ½ bh). Base= (-8x²) Height = (-12x)

Answers

Answer:

area = 48x³

Step-by-step explanation:

area = 1/2(-8x²)(-12x) = 48x³

Can someone help me plz

Answers

Answer: 10(x+7.5)=200

Step-by-step explanation:

Using your knowledge on enzymes, explain : Milk that has been boiled and then covered keeps longer than fresh milk.​

Answers

Answer:

my phone is Saturday mate I have been in touch with

do parallel lines have tha same slope​

Answers

Answer:

The slopes of parallel lines are equal.

Step-by-step explanation:

Two lines are parallel if their slopes are equal and they have different y-intercepts.

The slopes of parallel lines are equal

17. The area of a rectangular sandbox is 8x2 + 18x + 9. If one of it's dimensions is (2x + 3), what is the other
dimension of the sandbox?

Answers

Answer:

The other dimension of the sandbox must be (4x+3).

Hope this helps! Have a good day!

Alec’s Medicare levy is $1750. This is 2% of his taxable income. What is Alec’s taxable income?

Answers

Answer:

$35

Step-by-step explanation:

2/100 x 1750

0.02 x 1750= $35

HURRY PLEASE!!!!
Identify the graph of y = In x + 1.
X
64
RETRY

Answers

The Middle answer is the answer

Write the equation in slope-intercept form: 5x - 2y = 12

Answers

Answer:

Step-by-step explanation:

Solving

5x + -2y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2y' to each side of the equation.

5x + -2y + 2y = 12 + 2y

Combine like terms: -2y + 2y = 0

5x + 0 = 12 + 2y

5x = 12 + 2y

Divide each side by '5'.

x = 2.4 + 0.4y

Simplifying

x = 2.4 + 0.4y

Which ratio best defines experimental probability

Answers

Answer:

The experimental probability of an event is defined as the ratio of the number of times the event occurs to the total number of trials performed.

Step-by-step explanation:

Answer:

The Experimental Probability of an experiment is defined as: Ratio of the number of times the event is occurring to the total number of trials of the experiment

Step-by-step explanation:

What are the three different kinds of problems we can solve using the percent proportion?

Answers

Answer:

We have now seen solutions method for the three basic types of percent problems ;finding the amount, the rate, and the base

Solve the inequality: 5x + 7 < -23

Answers

Step-by-step explanation:

Given

5x + 7 < - 23

Subtracting 7 from both sides

5x + 7 - 7 < - 23 - 7

5x < - 30

Dividing both sides by 5

5x / 5 < - 30 / 5

x < - 6

Hope it will help :)

Answer: x = 14/5

Step-by-step explanation:

1. Add 7  to both sides.

5x=7 +7

5x=7+7

Simplify  7 +7  to  14

5x = 14

5x=14

Divide both sides by 5

x =14/5

x = 14/5

Hoped this help <3 !

Juanita can complete 12 math problems in 40 minutes. How many problems can she complete in 60 minutes

Answers

Answer:

The answer is 18.

Step-by-step explanation:

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