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

A model rocket is fired vertically and ascends with a constant vertical acceleration of 4.00 m/s2 for 5 s. Its fuel is then exhausted and it continues as a free
f(x) = x^2 f(x)+f(x)+f(x)
(-a^3b^2 c)^2 raise to power.
Solve x/2 + y/3 = 1 for x
What are the zeros of f(x) = x^2 + x - 20? A. x= -4 and x = 5 B. x= -2 and x = 10 C. x= -5 and x = 4 O D. x= -10 and x = 2
A home with a market value of $240,000 is assessed at 40% of the market value. What's the assessed value?
Which of the following is not descriptive of external environmental scanning? used as a tool for corporations to avoid strategic surprise used to monitor, evalu
A ball held 2.0 meters above the floor has 59 joules of potential energy the bald mass is about
The sum of the ages of ahsan and his mother is 61 years.The difference in their ages is 29 years.By forming a pair of simultaneous linear equations,find (i)ahsa
The table shows the favourite colour of 400 people. Complete the table and draw a pie chart to represent this information? Mathswatch