Evaluate log of 100

Problem

(log_10)(100)

Solution

1. Identify the base of the logarithm. When a logarithm is written as (log_)() without an explicit base, it is commonly understood to be the common logarithm with base 10

2. Rewrite the argument of the logarithm as a power of the base. Since 10×10=100 we can express 100 as 10

3. Apply the property of logarithms that states (log_b)(bx)=x This property indicates that the logarithm of a power of its base is equal to the exponent.

4. Simplify the expression by extracting the exponent.

Final Answer

(log_10)(100)=2

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