Respuesta :

wegnerkolmp2741o

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

1nitch

Answer:

[tex]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} [/tex]

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