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earnstyle [38]
3 years ago
9

Select the correct answer.

Mathematics
2 answers:
AfilCa [17]3 years ago
5 0

Answer:

x = 1/2

Step-by-step 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

givi [52]3 years ago
4 0

Answer:

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 =  \frac{1}{2}

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Answer

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