Question

Solve for x: Logbase 8 (X+1)=2/3

Answer 1

Change it to exponential :
8^2/3=(x+1)
solve for x .

Answer 2

\[\huge \log_{8}(x+1)=\frac{2}{3}\]
Using the logarithm laws:
\[\huge \log_{a}b=x\]
The above expression can be written as:
\[\huge a^x=b\]
Using that, we cna write your logarithm equation as:
\[\huge 8^{\frac{2}{3}}=x+1\]
\[\huge \sqrt[3]{8^2}=x+1\]
\[\huge \sqrt[3]{64}=x+1\]
\[\huge 4=x+1\]
Solve for x now.