Evaluate log of 16

Problem

(log_10)(16)

Solution

1. Identify the base of the logarithm. Since no base is explicitly written, it is assumed to be the common logarithm with base 10

2. Rewrite the number 16 as a power of 2 to simplify the expression using logarithmic properties.

16=2

3. Apply the power rule for logarithms, which states (log_b)(xy)=y*(log_b)(x)

(log_10)(2)=4*(log_10)(2)

4. Substitute the approximate value of (log_10)(2) which is 0.30103

4×0.30103=1.20412

Final Answer

(log_10)(16)≈1.20412

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