# Math Help - Logarithmic Equations

1. ## Logarithmic Equations

The first one is a lead up to the second one (in terms of what to do).

Solve for x

N.B The two logarithms are separate equations, not a huge fraction.

Thanks - I'm not sure what to do but apparently it has something to do with the common logarithm (just a chapter name). Anyway, thanks for any help.

2. Originally Posted by BG5965
The first one is a lead up to the second one (in terms of what to do).

Solve for x

N.B The two logarithms are separate equations, not a huge fraction.

Thanks - I'm not sure what to do but apparently it has something to do with the common logarithm (just a chapter name). Anyway, thanks for any help.
Both questions require you to be familiar with the rule $\log_A B = C \Rightarrow A^C = B$.

1. $8^{2/3} = x - 5 \Rightarrow (2^3)^{2/3} = x - 5 \, ....$

2. $\log_7 [(5 - 2x)(2 + x)] = 1 \Rightarrow (5 - 2x)(2 + x) = 7^1 \, ....$