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

All Questions & AnswersCategory: Questions15^3/2×15^2/2=15^8 Find The Value Of ‘x’
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]