Question

evaluate expression
$\log_{10} 100$

Explanation:

Step1: Recall logarithm definition

The logarithm $\log_{b}a$ is the exponent $x$ such that $b^{x}=a$. For $\log_{10}100$, we need to find $x$ where $10^{x}=100$.

Step2: Express 100 as power of 10

We know that $100 = 10^{2}$. So, $10^{x}=10^{2}$.

Step3: Solve for x

Since the bases are the same, the exponents must be equal. Thus, $x = 2$. So, $\log_{10}100 = 2$.

Answer:

2