Question

4^х-5=8^2x

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Answer 1

$4 {}^{x - 5} = 8 {}^{2x} \\( 2 {}^{2} ) {}^{x - 5} = ( {2}^{3} ) {}^{2x} \\ 2 {}^{2(x - 5)} = 2 {}^{3 \times 2x} \\ 2(x - 5) = 6x \\ 2x - 10 = 6x \\ 2x - 6x = 10 \\ - 4x = 10 \\ x = 10 \div ( - 4) \\ x = - 2.5$