If-1-3-x-5-find-9-x-1-

Question Number 206958 by hardmath last updated on 01/May/24

If \frac{1}{3^{- x}} = 5 find : 9^{x + 1} = ?

Answered by Frix last updated on 01/May/24

3^{x} = 5

{(3^{x})}^{2} = 25

9^{x} = 25

9 \times 9^{x} = 225

9^{x + 1} = 225

Commented by hardmath last updated on 01/May/24

thank you dear professor

Commented by Frix last updated on 01/May/24

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Answered by MATHEMATICSAM last updated on 02/May/24

\frac{1}{3^{- x}} = 5

\Rightarrow 3^{x} = 5

\Rightarrow {(3^{x})}^{2} = 25

\Rightarrow 9^{x} = 25

\Rightarrow 9^{x} \times 9 = 225

\Rightarrow 9^{x + 1} = 225 (Ans)