can someone show me how to do this log
2007-12-02 06:09:28 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
x^(2/3) = 25
x = 25^(3/2)
x = 5³
x = 125
2007-12-02 06:38:25 · answer #1 · answered by Como 7 · 3⤊ 1⤋
By definition x^2/3 =25 so x= 25^3/2 = 125
2007-12-02 14:13:31 · answer #2 · answered by santmann2002 7 · 1⤊ 1⤋
the basic of this question is to convert expression from log to index form.
we know that log(base a) b=c, then a^c=b
so, if log (base x)25=2/3 then x^(2/3)=25
x^(2/3)=25
x=125
2007-12-02 14:15:55 · answer #3 · answered by Wits 2 · 0⤊ 1⤋
rewrite it in exponent form:
x^(2/3) = 25
take each side to the 3/2 power:
x = 25^3/2
25 to the 3/2 is the square root of 25 cubed = 125.
that's' it :)
2007-12-02 14:13:35 · answer #4 · answered by Marley K 7 · 1⤊ 0⤋
log(base b)(x) = y
is the same as x=b^y
so log (base b)25=2/3
is the same as:
25= b^(2/3)
So b=125.
Hope that was helpful! :D
2007-12-02 14:16:42 · answer #5 · answered by Matty B 3 · 0⤊ 1⤋