Question

find the value of x if 2to the power of x+1=64

Answer 1

Given :-

${2}^{(x + 1)} = 64$

To find :- value of x

Solution :-

Prime factorization of 64 is :-

64 = 2 × 2 × 2 × 2 × 2 × 2

$64 = {2}^{6}$


${2}^{(x + 1)} = {2}^{6}$

• When base are same power are equal !!

x + 1 = 6

x = 6 - 1

x = 5