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Question

# Given that $\log _b 2 \approx 0.693, \log _b 3 \approx 1.099$, and $\log _b 5 \approx 1.609$, find each of the following, if possible. Round the answer to the nearest thousandth. $\\$$\log _b 15 b$

Solution

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For this problem, we will evaluate the given expression where $\log_b2\approx0.693$, $\log_b3\approx1.099$, and $\log_b5\approx1.609$. In order to do this, we will use the three properties of logarithmic functions which is the product rule, power rule, and quotient rule.

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