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

if phrase begin with to hasten or to infer it is a what phrase
You should not try to move accident victims from the scene true or false
The factored form of 4a3b5 − 16a5b2 + 12a2b3 is ?
Name size of machine screw that is used to secure switches and receptacles to device boxes
Need help on this question please
At a rate of 5 miles per hour, a manatee travels 13 miles as it glides through the water. How long did it take the manatee to travel the 13 miles?
During a particular baseball​ season, a team averaged​ 41,602 fans per home game. suppose attendance during the season follows the normal probability distributi
What does the speed of seismic wave depend on
What feature distinguishes adipose tissue from other connective tissues?
Describe at least three elements that can help make a procedural text reader friendly ?