Question

find value of k if 125/27 * (125/27)^k = (5/3)^18

Answer 1

Answer:

$( \frac{125}{27} \times \frac{125}{27}) ^{k} = \frac{5}{3} ^{18} \\ { { ((\frac{5}{3}) }^{2}})^{3k} = { \frac{5}{3} }^{18} \\ { \frac{5}{3} }^{6k} = \frac{5}{3}^{18}$

$6k = 18 \\ k = \frac{18}{6} \\ k = 3$

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