Question

if (9/4)^x (8/27)^x-1=2/3 then...value of x

Answer 1

HELLO DEAR,

${ (\frac{9}{4}) }^{x} \times { \frac{8}{27} }^{x - 1} = \frac{2}{3} \\ \\ = > {( \frac{2}{3} )}^{ - 2x} \times {( \frac{2}{3} )}^{3(x - 1)} = \frac{2}{3} \\ \\ = { (\frac{2}{3} )}^{ - 2x + 3x - 3} = \frac{2}{3} \\ \\ = > x - 3 = 1 \\ \\ = > x = 4$


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