Question

find the value of x please answer it's step by step​

Answer 1

Step-by-step explanation:

$\\ \tt{:}\Rrightarrow ( \frac{3}{4} ) {}^{x} \times (\frac{4}{3} ) {}^{2x} = \frac{64}{27} \\ \tt{:}\Rrightarrow ( \frac{4}{3} ) {}^{ - x} \times (\frac{4}{3} ) {}^{2x} = \frac{ {4}^{3} }{ {3}^{3} } \\ \\ \tt{:}\Rrightarrow ( \frac{4}{3} ) - x + 2x = (\frac{4}{3} ) {}^{3} \\ \\ \tt{:}\Rrightarrow ( \frac{4}{3} ) {}^{x} = ( \frac{4}{3} ) {}^{3} \\ \\ \tt{:}\Rrightarrow x = 3$