Question

Hi
I will mark as brain list
please please tell me answer of this question in easy way but
Step-by-step explanation​

Answer 1

here your answer mate,⤵⤵

$\begin{lgathered}{ \implies ({3}^{9} \times {3}^{ - 5})}^{x} = 27 \\ \\ \implies { ({3}^{9} \times { \frac{1}{3} }^{5} )}^{x} = {3}^{3} \\ \\ \implies { ({3}^{9 - 5} )}^{x} = {3}^{3} \\ \\ \implies { ({3}^{4} )}^{x} = {3}^{3} \\ \\ \implies 4x = 3 \\ \\ \implies x = \frac{3}{4}\end{lgathered}$

Since, the Base(3) is same both side

\implies so , $we \: will\: equate\: the\: exponent.$

hence

$\implies x = 3/4$

Answer 2

Solution—

$(3^{9} \times 3 {}^{ - 5} ) {}^{x} = 27 \\ \\⟹(3 {}^{9 + ( - 5)} ) {}^{x} = 27 \\ \\⟹3 ^{(4 \times x)} = 27 \\ \\ ⟹{3}^{4x} = {3}^{3} \\ \\⟹ 4x = 3 \\ \\⟹x = \frac{3}{4}$

$\boxed{x = \frac{4}{3} }$