Solve each exponential equation by expressing each side as a power of the same base and then equating exponents.
125ˆx = 25
2007-06-17 05:32:47 · 6 answers · asked by Brian Z 1 in Science & Mathematics ➔ Mathematics
125^x=25
(5^3)^x=5^2
(5)^(3x)=5^2
Since the bases are equal, the power must be equal
3x=2
x=2/3
2007-06-17 05:47:58 · answer #1 · answered by Anonymous · 0⤊ 0⤋
125 = 5^3, and 25 = 5^2.
Therefore:
5^(3x) = 5^2
Equating exponents:
3x = 2
x = 2/3.
2007-06-17 12:37:03 · answer #2 · answered by Anonymous · 0⤊ 0⤋
5^(3x) = 5^2
as bases are same as 5
then
3x=2
x=2/3
2007-06-17 12:38:39 · answer #3 · answered by Anonymous · 0⤊ 0⤋
125Ëx = 25
(5^3)^x = 5^2
5^(3x) = 5^2
3x=2
x=2/3
2007-06-17 12:39:24 · answer #4 · answered by ironduke8159 7 · 0⤊ 1⤋
5^(3x) = 5²
3x = 2
x = 2/3
2007-06-17 12:35:43 · answer #5 · answered by MathGuy 6 · 0⤊ 0⤋
125^x = 125^(log base 125 (25))
x = log base 125 (25)
2007-06-17 12:36:33 · answer #6 · answered by Anonymous · 0⤊ 0⤋