Question

what is a log10 (100)

Answer 1

Answer:

The value of the given logarithm is;

$\log _{10}100=2$

Explanation:

Given the logarithm;

$\log _{10}100$

To solve, we know that 100 is the square of 10.

so we have;

$\log _{10}100=\log _{10}10^2$

And according to the rules of logarithm

$\begin{gathered} \log m^n=n\log m \\ \text{and} \\ \log _nn=1 \end{gathered}$

Applying the two rules;

$\begin{gathered} \log _{10}100=\log _{10}10^2=2\log _{10}10=2\times1 \\ \log _{10}100=2 \end{gathered}$

Therefore, the value of the given logarithm is;

$\log _{10}100=2$