Question

Select the correct answer.

What is the solution to this equation?
91 – 1 = 2
OA 1 / 1
OB. 2
oc. 1 / 1
OD.
1
1

Answer 1

`9 {}^(x) - 1 = 2 \\ 9 {}^(x) = 2 + 1 \\ 9 {}^(x) = 3 \\ 3 {}^(2(x)) = 3 \\ 3 {}^(2x) = 3 {}^(1) \\ since \: the \: \: bases \: are \: the \: same \\ 2x = 1 \\ x = (1)/(2)`

Answer 2

x = 1/2

Explanation:

9^x -1 = 2

Add 1 to each side

9^x = 2+1

9^x = 3

Rewriting 9 as 3^2

3^2x = 3

3^2x = 3^1

The bases are the same so the exponents must be the same

2x =1

2x/2 =1/2

x = 1/2