Question

Rewrite in logarithmic form 19^2 = 361

Answer 1

Answer:

  $\log_{19}{361}=2$

Step-by-step explanation:

We know that taking logarithms performs the transformation ...

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

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

  $\boxed{\log_{19}{361}=2}$