Question

Solve: 9^(2x + 1) = 9^(3x – 2)

Answer 1

Answer:

             x = 3

Step-by-step explanation:

The same bases (9) needs the same exponents to be equal:

$\big9^{2x + 1}=\big9^{3x-2}\quad\iff\quad 2x+1=3x-2\\\\2x+1=3x-2\\\\2x-3x=-2-1\\\\-x=-3\\\\x=3$

Answer 2

The computation of the indices show that the value of x in 9^(2x + 1) = 9^(3x – 2) is 3.

How to calculate the indices?

From the information given, we are told to simply solve 9^(2x + 1) = 9^(3x – 2). In this case, the exponents given are equal which is 9.

Therefore, 2x + 1 = 3x - 2

Collect like terms

3x - 2x = 1 + 2

x = 3

Therefore, the value of x is 3.

Learn more about indices on:

https://brainly.com/question/10339517

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