Problem 86
Question
Evaluate or simplify each expression without using a calculator. $$10^{\log 53}$$
Step-by-Step Solution
Verified Answer
53
1Step 1: Identify the base of the logarithm
In the given expression \(10^{\log 53}\), we see that the base of the logarithm is not explicitly mentioned. Fun fact, when the base is not mentioned, it defaults to 10 which is known as the common logarithm.
2Step 2: Apply the rule for logarithms
Apply the rule that that if the base of the exponentiation and the base of the logarithm are the same, they cancel out each other. This leads to \(10^{\log 10 53} = 53\)
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