Math, asked by mob9078927674, 10 months ago

3 to the power x+1=9 what is the answer?​

Answers

Answered by walker6388
0

Step-by-step explanation:

firstly, x+1=9

x=9-1

x=8

then, 8³=512

Answered by Mihir1001
18

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<font color="blue" size="5px"><b>Answer:</b></font>

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\huge\boxed{\fcolorbox{red}{#ffdfff}{6561}}

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<font color="red" size="5px"><b>Step-by-step-explaination:</b></font>

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We have,

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x + 1 = 9

 \implies x = 9 -1

 \implies x = 8

Henceforth,

 \:  \:  \:  \:  \:  {(3)}^{x}

 =  {(3)}^{8}

 =  {(3)}^{(2 \times 4)}

 =  {[ {(3)}^{2} ]}^{4}

 =  {(9)}^{4}

 =  {(9)}^{(2 \times 2)}

 =  {[ {(9)}^{2} ]}^{2}

 =  {(81)}^{2}

 = 6561

----------------------------------------------------------------------------------------------------------------------------------------づ ̄ ³ ̄)づ

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