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

All narratives ______, but they may use different elements to do so.
Consider the function f(x) = x2 and the function g(x) = 3x2. How will the graph of g(x) differ from the graph of f(x)? Select the correct answerThe graph of g(
the expression when b=3 and y= -35b-y​
Which of the following equations have no solutions? Choose all answers that apply: Α. 5x + 5 = -42 – 5 B -4x + 5= -42 - 4 –4x + 5 = -4x – 5 D 4x + 5 = -4x + 5
Define cultural diversity. How diverse is the state of Minnesota? What are some different cultural groups that live in Minnesota? Do you interact with people fr
What is the range of this set of heights in centimeters? {140, 166, 132, 165, 152, 168, 181, 158, 173, 171, 180, 182, 163, 177, 180, 142, 147, 149, 178} 38 41
All --- is a good conductor of heat​
In a triangle ABC, b=13cm c=17cm A=86 degree. Find B,C and a​
What trait are narcissists likely to have that is associated with leader emergence but not effectiveness
Can someone help me please this is my last one ​