Question

(3/4)^2x-3=(4/3)^x-1 find x

Answer 1

${( \frac{3}{4} )}^{2 x- 3} = {( \frac{4}{3} )}^{x - 1} \\ \\ \bf \: Using \: the \: identity : \\ \\ { (\frac{a}{b}) }^{ - m} = { (\frac{b}{a} )}^{ m} \\ \\ {( \frac{3}{4} )}^{2x - 3} = {( \frac{3}{4} )}^{1 - x} \\ \\ \bf \: If \: the \: values \: are \: equal \: we \: can \\ \bf \: put \: the \: powes \: equal \\ \\ 2x - 3 = 1 - x \\ \\ 2x + x = 1 + 3 \\ \\ 3x = 4 \\ \\ x = \frac{4}{3}$

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Answer 2

Step-by-step explanation:

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