Question

Rewrite in logarithmic form 19^2 = 361

Answer 1

`log_19(361)=2`

Explanation:

We know that taking logarithms performs the transformation ...

`b^e=x\\\\e\cdot\log{b}=\log{x}\quad\text{take logs}\\\\e=\frac{\log{x}}{\log{b}}\quad\text{divide by $\log{b}$}\\\\\log_b{x}=e\quad\text{use the change of base formula}`

Then for b=19, e=2, x=361, we have

`\boxed{log_19(361)=2}`