Use the change-of-base formula to evaluate each logarithm correct to six decimal places.(a)log2(30) (b)log19(18)
Question
Solution 1
(a) To evaluate log2(30) using the change-of-base formula, we can use the natural logarithm (ln) or the common logarithm (log). The change-of-base formula is logb(a) = logc(a) / logc(b). Here, we can use the natural logarithm to evaluate:
log2(30) = ln(30) / ln(2)
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