Question
Given $\log _a 2=0.69, \log _a 3=1.10$, and $\log _a 5=1.61$, use the properties of $\operatorname{logarithms~to~evaluate:~}$(a) $\log _a 30$; (b)(b) $\log _a \frac{6}{5}$,(c) $\log _a \frac{1}{\sqrt{15}}$(d) $\log _a\left(-\frac{5}{6}\right)$
Step 1
$\log_a 30 = \log_a (2 \cdot 3 \cdot 5)$ $\log_a 30 = \log_a 2 + \log_a 3 + \log_a 5$ $\log_a 30 = 0.69 + 1.10 + 1.61$ $\log_a 30 = 3.40$ Show more…
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