What is the solution to the equation 21^{x + 3} = 14?

Solution:

Given 21^{x + 3} = 14

Apply log on both sides

log(21^{x + 3}) = log14

We know that logx^m = mlogx

(x + 3)log21 = log14

(x + 3)(1.32) = 1.14

x + 3 = 1.14/1.32

x + 3 = 0.86

x = 0.86 - 3

x = -2.13

Solution is x = -2.13

What is the solution to the equation 21^{x + 3} = 14?

Summary:

The solution to the equation 21^{x + 3} = 14 is x = -2.13.