Question

find the value of x
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Answer 1

$\tt{ {(3)}^{4x} = {\dfrac{1}{81}}}$

$\tt{ {(3)}^{4x} = {\dfrac{1}{ {(3)}^{4} }}}$

$\tt{ {(3)}^{4x} = {(3)}^{-4}}$

On comparing both sides, we get

4x = - 4

x = - 1

Answer 2

${3}^{4x} = \frac{1}{ {3}^{4} } \\ {3}^{4x} = {3}^{ - 4} \\ on \: compairing \\ 4x = - 4 \\ x = - 1$

Hope it will help you...