Write this expression as a single logarithm.
log(x2 + 8x + 12) - 2 log(x + 6)
Give your answer using the form logA(B).
2007-11-11 10:13:11 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
log[(x² + 8x + 12)/(x+6)²]
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2007-11-11 10:17:24 · answer #1 · answered by ssssh 5 · 0⤊ 0⤋
log ((x^2 +8x+12) / (x+6)^2)
It is division, because the terms are subtracted.
2007-11-11 10:17:37 · answer #2 · answered by james w 5 · 1⤊ 0⤋
Coefficients change into exponents in log: log_4 (x^3) - log_4 (z^2) - log_4 (y^4) sources of log, at the same time as including logs of similar base, multiply them into one log and at the same time as subtracting logs of similar base, divide them into one log: log_4 ((x^3 / z^2) / y^4) Simplify: log_4 (x^3 / (z^2 * y^4))
2016-10-24 01:32:12 · answer #3 · answered by ? 4 · 0⤊ 0⤋
use log(m) - log(n) = log(m/n) and
mlog(n) = log(n^m)
log(x^2 + 8x + 12) - 2log(x+6)
= log((x+6)(x+2) - log(x+6)^2
= log((x+2)/(x+6))
2007-11-11 10:18:50 · answer #4 · answered by norman 7 · 1⤊ 0⤋