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

How did Newton conceive of his scientific explanations in relation to religion? A) They disproved the existence of God. B) They supported the divine right of k
Gravitational potential energy depends on what two things?
How does the electric force between two charged particles change if the distance between them is decreased by a factor of 3?
What is the best definition of unicameral?
What is a primary reason the body needs nutrients
(4Q) If c < d and x > 1, which of the following must be true?
what best describes the governments of the United States and Soviet Union after World War II​
The mean is defined as theA. average of a data setB. range of the data setC. number that shows up most often in a data setD. middle of the data set​
The Higher The Value Of Coefficient Of Friction The _____ The Resistance To Sliding.
Characteristics of bulimia include all of the following