Question

find x such that (125/8)×(125/8)^x=(5/2)^18​

Answer 1

Answer:

The answer of this question is 5

Answer 2

Answer:

$( \frac{125}{8} ) \times ( \frac{125}{8} )^{x} =( \frac{5}{2} )^{18} \\ \therefore \: ( \frac{125}{8} )^{x + 1} =( \frac{5}{2} )^{18} \\ \therefore \: ( \frac{ {5}^{3} }{ {2}^{3} } )^{x + 1} =( \frac{5}{2} )^{18}\\ \therefore \: ( \frac{ {5} }{ {2}} )^{3(x + 1)} =( \frac{5}{2} )^{18} \\ \implies \: 3(x + 1) = 18 \\ \implies \:(x + 1) = \frac{18}{3} \\ \implies \:x + 1 = 6 \\ \implies \:x = 6 - 1 \\ \implies \: \huge \huge\fbox{x = 5}$