Numerical Log Problem

October 30, 2016 at 6:47am by huggins.5@osu.edu

If a = log₈225 and b = log₂15, then what’s a in terms of b?

a = b/2
a = 2b/3
a = b
b = a/2
a = 3b/2

Show/Hide Solution

a = log₈225
8^a = 225 = 15²
(2³)^a = 15²
2^3a = 15²
2^3a/2 = 15

b = log₂15
2^b = 15

2^3a/2 = 2^b
3a/2 = b
a = 2b/3.

The answer is (b).

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