simplify the following

log base3^1000-log base5^500-log base7^100
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1 Answer

log3(1000)-log5(500)-log7(100)?

log10(1000)=3; log10(500)=2.6990 (approx); log10(100)=2.

log10(3)=0.4771 (approx); log10(5)=0.6990 (approx); log10(7)=0.8451 (approx).

logb(a)=log10(a)/log10(b).

So the original expression becomes:

3/0.4771-2.6990/0.6990-2/0.8451=0.05977 approx.

by Top Rated User (1.2m points)

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