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

what is the meaning of FTTH
the scale on a map shows that 5 centermeater =2 kilometers. What number of centameaters on the map represents an actual distance of 7 kilomeaters.
What are two ways that Africans were discriminated against by the white government?
how do election impact the legal system
help please and thankssssss.
10. ¿Qué importancia tiene la obra de Virgilio para la cultura latina en comparación con la de Homero, en la griega?
What is the surface area of the figure below? 4 cm 5 cm 3 cm 3 cm 5cm 4 cm​
► Why did people value silphium? Fill in the blanks People and animals could silphium. It even gave animal meat a special But the biggest reason people valued s
What is the magnitude (size) of 6.8? A. 6.8, because 16.81 = 6.8 B. -6.8, because 16.81 = 6.8 C. 68, because 16.81 = 68 D. 6.8, because 16.8) = -6.8
What is the double meaning of “takin’ this horse by the reins”?