Question

5 power 3 X + 1 equal to 25 power X square + 1

find value of X

step by step process
no irrelevant ​

Answer 1

Answer:

The value of x is 2.

Hope it helps you.

Answer 2

Answer:

x = 0, 3/2

Step-by-step explanation:

Here,

5^3x+1 = 25^x²+1

or, (5)^3x+1 = (5)^2x²+2

or, 3x+1 = 2x² +2

or, 2x²-3x + 1 =0

or, 2x²-2x-x+1 = 0

or, 2x(x-1)-1(x-1) = 0

or, (x-1)(2x-1) = 0

either, x-1 =0 i.e. x=1

or, 2x-1=0

i.e. x=1/2

Hence,

x = 1 , 1/2