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Which of the following became common after the 1933 national industry recovery act was no longer in effect
a pet store sold 245 cans of cat food last weekend for a total of $90.65. what was the price per can?
What is the square root of -16
what is the percent by mass of water in Na2SO4×10H2O
What was a direct effect of the expansion of the technological revolution?
the only difference between an isosceles trapezoid and trapezoid is the fact that the nonparallel sides are congruent true or false
Mi deporte favorito DIRECTIONS: Write a brief paragraph in Spanish describing your favorite sport. Be sure to mention the name of the sport and why you enjoy it
If g=-4.1, then -3g^2/(-3g)^2=
Esmeralda rent a car from a company that rents cars by the hour she has to pay the initial fee of $52 and then they charged her $8 per hour she has $144 availab
What does a coda appear in a musical score? answer.com?