Question

Solve for x using the Power Property of Logarithms.
7^(3+x)=54
A)x≈ 2.95
B)x≈ 0.95
C)x≈ -0.95
D)x≈ -2.95

Answer 1

anybody ? D: im strugglimg so much with this !

Answer 2

Take logs on both sides:
$$
7^{3+x}=54\\
\ln7^{3+x}=\ln54\\
(3+x)\ln7=\ln54\\
3+x=\cfrac{\ln54}{\ln7}\\
x=\cfrac{\ln54}{\ln7}-3\\
$$

Does this make sense?