step by step
2007-04-25 06:15:09 · 3 answers · asked by lana l 1 in Science & Mathematics ➔ Mathematics
log(12) = log(2*2*3) = 2*log2 + log3 by log laws
= 2*(0.4307) + 0.6826
= 1.544
2007-04-25 06:22:47 · answer #1 · answered by Dr D 7 · 2⤊ 0⤋
The rule you need to use is:
log(a*b) = log(a) + log(b)
(the log of a product of two numbers, is the same as the sum of the logs of the numbers)
log_(5)12
= log_(5){2*2*3}
= log_(5)2 + log_(5)2 + log_(5)3
= 0.4307 + 0.4307 + 0.6826
= 1.544
2007-04-25 13:19:55 · answer #2 · answered by McFate 7 · 2⤊ 0⤋
log_(5) 12 = log_(5) 2^2(3)
= 2log_(5)2 + log_(5) 3
= 2(0.4307) + 0.6826
= 0.8614 + 0.6826
= 1.5440
2007-04-25 13:22:42 · answer #3 · answered by Ray 5 · 1⤊ 0⤋