for 10 points solve this in exact value dont use a calculator?

3 ⤊

for 10 points solve this in exact value dont use a calculator?

log(base6) 9+log (base6) 4

2007-12-09 04:19:30 · 3 answers · asked by star baller 360 5 in Science & Mathematics ➔ Mathematics

3 answers

let log_6(9) +log_6(4)

use log rule: log(a) + log(b) = log(ab)

log_6(9*4) = log_6(36)

=>log_6(6^2)

use log rule: log(a^b) = b log(a)

=>2 log_6(6) = 2 (log of any number to the base of same number

is 1)

2007-12-09 04:29:02 · answer #1 · answered by mohanrao d 7 · 1⤊ 0⤋

Let log be log to base 6 in the following:-
log 9 + log 4 = log 36 = 2

2007-12-09 13:59:19 · answer #2 · answered by Como 7 · 1⤊ 0⤋

In base 6:

log 9 + log 4

= log (9x4)

= log 36

= 2, since 36 = 6^2.

Hope this helps, Twiggy.

2007-12-09 12:29:50 · answer #3 · answered by Twiggy 7 · 1⤊ 0⤋