Solve for x in 9^x + 3^2x - 1 = 53

Solve for x in 9^x + 3^2x - 1 = 53

Answers

0.9^x + 3^2x - 1 = 53

9^x + 3^2x = 54

3^2x + 3^2x = 54

Let 3^2x = y

y + y = 54;

2y = 54

y = 24;

but y = 3^2x

3^2x = 27

Express both sides to same base,

3^2x = 3³

If the bases are equal then the

powers are equal

2x = 3;

x = $\frac{3}{2}$ = 1.5

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johnmulu answered the question on June 12, 2017 at 13:07

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