Question

find the value of x so that (15/4)^3 / (5/4)^3 = 3^x
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Answer 1

x=3

LHS

(15/4)^3/(5/4)^3

(15)^3/(5)^3

(15)^3*(1/5)^-3

(3)^3*(1/1)^-3

(3)^3/(1)^3

WHEN BASE IS SAME THEN THER POWER IS ALSO EQUAL SO (3)^3=(3)^x

x=3

Answer 2

$(\frac{15}{4} )^{3} / (\frac{5}{4} )^{3} = 3^x$

$\frac{\frac{3375}{64} }{\frac{125}{64} } = x^3$

$\frac{3375}{125} = 3^x$

$27 = 3^x$

$3^3 = 3^x$

x = 3

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