Question

Find the value of x if
(5^2)^7 = 125^x

Answer 1

Answer:

Find the value of x if

(5^2)^7 = 125^x

=>5¹⁴={(5)³}^x

=>5¹⁴=5^3x

=>14=3x

=>x=14/3

Answer 2

Answer:

First of try to make LHS and RHS have the same base.

(5^2)^7 = 125^x

5^14 = 5^3x

Base is same therefore you disregard it and take powers into consideration.

14 = 3x

       3

4.67 = x