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What will be the value of the expression log10 (100)n if 'n' is taken as 5?

Question

What will be the value of the expression log10 (100)n if 'n' is taken as 5?

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Solution

Step 1: Understand the expression The expression given is log10 (100)n where 'n' is 5. This means we are looking for the logarithm base 10 of 100, raised to the power of 5.

Step 2: Simplify the logarithm The logarithm base 10 of 100 is 2. This is because 10^2 = 100.

Step 3: Substitute the value of the logarithm into the expression So, the expression becomes 2^5.

Step 4: Calculate the value of the expression 2^5 equals 32.

So, the value of the expression log10 (100)n when 'n' is 5 is 32.

This problem has been solved

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