Solve for x: 3 log x to the base 4 = log 125 to the base 4
2007-03-08 02:58:02 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
(all to base 4) 3logx = log (x^3), so,
log (x^3) = log 125, so, x=5
2007-03-08 03:01:33 · answer #1 · answered by tsunamijon 4 · 1⤊ 0⤋
Ok, I think you are asking this :
3log4(x) = log4(125)
4 means the base, do not confuse.
log4x^3 - log4125 = 0
log4(x^3 / 125 ) = 0
4^0 = 1
1 = x^3 / 125
125 = x^3 >>> x = 5
that's the result.
Remember : loga - logb = log( a / b)
2007-03-08 11:01:17 · answer #2 · answered by anakin_louix 6 · 0⤊ 0⤋
(all of them to base 4) 3logx = log (x^3), so,
log (x^3) = log 125, so, x=5
2007-03-12 08:38:53 · answer #3 · answered by hbj 2 · 0⤊ 0⤋
3*log(base4)x= log(base4)x^3
It's like asking:
log(10)x^3, and you know that the log of any value raised to a power is that power multiplied by the log of x. So if I ask:
log (3^3), that is the same as 3*(log 3)
Therefore
logx^3=log 125
This obviously means that x^3=125
And we can easily see that x=5.
2007-03-08 11:11:32 · answer #4 · answered by bloggerdude2005 5 · 0⤊ 0⤋