Show how to use properties of logarithms to simplify each expression
log 8 – 2 log(base 3) 2 + log 5
2007-06-27 10:33:12 · 6 answers · asked by Mark 2 in Science & Mathematics ➔ Mathematics
are log 8 and log 5 in base 3 too???
2007-06-27 10:41:11 · answer #1 · answered by Theta40 7 · 0⤊ 0⤋
Assume all logs are to base 3
log 8 - 2 log 2 + log 5
= log 8 + log 5 - log 2²
= log 40 - log 2²
= log 40 - log 4
= log (40 / 4)
= log 10
= 3.16
2007-07-01 08:25:52 · answer #2 · answered by Como 7 · 0⤊ 0⤋
log 8 – 2 log(base 3) 2 + log 5
Rearrange:
log 8 + log 5 – 2 log(base 3) 2
log 40 – 2 log(base 3) 2
log 40 – log(base 3) 2^2
log 40 – log(base 3) 4
2007-06-27 17:43:00 · answer #3 · answered by fredorgeorgeweasley 4 · 1⤊ 0⤋
well u can only simplify log8 and log 5 cuz 2log(base 3)2 has a base of 3 and the other two dont.
the answer i think is log40-log(base3)4
2007-06-27 17:42:17 · answer #4 · answered by Anonymous · 0⤊ 0⤋
log 8-2log()base3)2+log 5
=log 8-log(base 3)4+log5
=log8x5/4=log 10=1
2007-06-27 17:41:35 · answer #5 · answered by Anonymous · 0⤊ 1⤋
let log₃ 2=x
2=3^x
log 2=x log 3
x=log 2/log 3
log₃ 2=log 2/log 3
log 8-2log 2 /log 3+log 5
log 8*5-2log 2 /log 3
log 40-2log 2 /log 3
2007-06-27 17:47:12 · answer #6 · answered by yupchagee 7 · 0⤊ 0⤋