How would you work this problem? And what would the fraction answer be for x?
2007-11-17 20:15:58 · 7 answers · asked by Jeremy B 2 in Science & Mathematics ➔ Mathematics
log (base x) 25 = 5 means that x^5=25 whence we conclude that x=(25)^(1/5) or x=5^(2/5).
2007-11-17 20:25:42 · answer #1 · answered by evtrina 1 · 2⤊ 0⤋
log(base x) 25 = 5
=> x^5 = 25
=> x = 25^(1/5)
2007-11-18 04:26:06 · answer #2 · answered by sv 7 · 0⤊ 0⤋
log (base x) a = b
=> x^b = a
Therefore x^5 = 25 => x = 5th root of 25 = 1.09365...
2007-11-18 04:46:33 · answer #3 · answered by Helen B 5 · 1⤊ 0⤋
log (base x) 25 = 5
x^5 = 25
x = 25^(1/5) = (5²)^(1/5) = 5^(2/5)
2007-11-18 04:36:02 · answer #4 · answered by Northstar 7 · 1⤊ 0⤋
Its a bit of a guess but I would go with x being equal to 1. 5 x 5 does equal 25 so it would make sense for that variable not to change that side of the equation.
2007-11-18 04:18:59 · answer #5 · answered by Robert B 2 · 0⤊ 5⤋
log (base x) 25 = 5
x^5 = 25
5ln(x) = ln(25)
ln(x) = (ln(25))/5
x = e^(ln(25))/5
x â 1.903654
Another approach is
x = 25^0.2 â 1.903654
2007-11-18 04:34:17 · answer #6 · answered by Helmut 7 · 1⤊ 0⤋
the answet is x=2. because when you put it into exponential form:
5^x=25
and obviously
5^2=25.
2007-11-18 04:19:23 · answer #7 · answered by nunquam_iterum 2 · 2⤊ 4⤋