how do you evaluate log sub5 125 without using a calculator?

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2007-03-28 14:19:22 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

The question is asking, "5 to what power is 125?"

The answer is 3 because 5^3 = 125.

2007-03-28 14:24:38 · answer #1 · answered by Anonymous · 0⤊ 0⤋

you want to know 5^x = 125.

since 5^2 = 25 * 5 = 125 = 5^3
so the answer is 3

general form:
log[base x] y = z

means x^z = y

2007-03-28 21:27:13 · answer #2 · answered by cnuswte 4 · 0⤊ 0⤋

log sub 5 125
log sub 5 (5)^3
3 log sub 5 5 = 3 (1)
=3

because log sub a (a) = 1

2007-03-28 21:26:08 · answer #3 · answered by BrInGiToN 2 · 0⤊ 0⤋