brifr0mig1 brifr0mig1
  • 01-07-2022
  • Mathematics
contestada

Solve for 'x' in the following equation, explaining each step.

3^ (-3x+7) = 3^ (7x-13)

Respuesta :

lpina68 lpina68
  • 01-07-2022

Answer:

x = 2

Step-by-step explanation:

In order to have the two sides of the equation be equal, the exponents must equal.

-3x + 7 = 7x - 13

Add 3x to both sides.

7 = 10x - 13

Add 13 to both sides.

20 = 10x

Divide by 10.

2 = x

Check:

3^(-3•2+7)=3^(7•2-13)

3^1 = 3^1

3 = 3

Answer Link

Otras preguntas

Which of the following is NOT a fair option to bring the price down when shopping for a new car? A) Consider other comparable models with success records at
What mountain range is nicknamed the blue ridge mountains?
Use basic trigonometric identities to simplify the expression: 2 sin (x) cos (x) sec (x) csc (x) = ?
A veterinarian investigating possible causes of enteroliths in horses suspects that feeding alfalfa may be to blame. she wishes to estimate the proportion of ho
Smoking remains more common in much of europe than in the united states. in the united states, there is a strong relationship between education and smoking: wel
is "you and too" slant rhyme or exact rhyme?
if a sequence is defined recursively by (0)=3 and (n+1)=-f(n)+5 for n≥0, Then f(2) is equal to
What is the distance between –14 and –5 on a number line?
During the Vietnam war us Tripp’s had the advantage of
How is goldsman plan is more believe able then fricks