Question

What is the solution to the equation 14 ^ (x + 3) = 21?

A x ≈ −2.133
B x ≈ −1.846
C x ≈ 3.867
D x ≈ 4.154

Answer 1

`\bf 14^(x+3)=21\implies log(14^(x+3))=log(21)\implies (x+3)log(14)=log(21) \\\\\\ x+3=\cfrac{log(21)}{log(14)}\implies x=\cfrac{log(21)}{log(14)}-3`

and surely you'd know what that is.

Answer 2

The answer to your question is b