Math, asked by amankumar4747, 7 months ago

if (3)power x+1 =1/81 find x

Answers

Answered by vikhyat04

1

Hi ,

3^(x+1) = 1/81

3^(x +1) = 1/3⁴

3^(x+1) = 3^-4

[ Since 1/a^n = a^-n ]

x+1 = -4

[ Since If a^m = a^n then m = n ]

x=-5

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Answered by ronaldoChristiano

1

#x=5#

$\color{red}{Explanation:}$

As #3^(x-1)=81#, we have

#x-1=log_(3)81=log_(3)3^4#

= #4log_(3)3=4×1=4#

Hence #x=4+1=5#.

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