15^3/2×15^2/2=15^8 Find The Value Of 'x'

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Pronay Staff asked 2 weeks ago

What is the value of x from this equation $\bf{15^\frac{3}{2}}\times {15^\frac{x}{2}}=15^8$

1 Answers

Pronay Staff answered 2 weeks ago

The question is → $\bf{15^\frac{3}{2}}\times {15^\frac{x}{2}}=15^8$

To Find: The value of $x$

Step by step answer:-
$15^\frac{3}{2}\times15^\frac{x}{2}=15^8$

$15^\frac{3}{2}\times^\frac{x}{2}$

As the base is same, put the powers equivalent
$\frac{3}{2}+\frac{x}{2}=8$

$\frac{3\, +x}{2}=8$

Doing Cross Multiplication:
$3+x=8\times2$

$3+x=16$

$x=16-3$

$x=13$

The value of $x$

is 13 [PROVED]