Question

if 25 to the power x equal to 125 to the power Y then X ratio Y is equal to​

Answer 1

GIVEN :

If $25^x=125^y$ then find the value of the ratio x:y

TO FIND :

The ratio of x:y

SOLUTION :

Given that the expression is $25^x=125^y$

Solving the given expression $25^x=125^y$ as below

$(5^2)^x=(5^3)^y$

By using the property of exponents :

$(a^m)^n=a^{mn}$

$5^{2x}=5^{3y}$

Since the bases are same we can equate the powers we get,

2x=3y

$\frac{x}{y}=\frac{3}{2}$

∴ x:y=3:2

∴ The ratio of x and y is 3:2