Find the exact solution to the equation 3^x+5=9x.
a. 5/3
b. 5/2
c. 5
d. 6
2007-10-29 17:37:11 · 4 answers · asked by austin 1 in Science & Mathematics ➔ Mathematics
None of the solutions listed is a solution of the equation as written. You must mean
3^(x+5) = 9^x
3^(x+5) = (3²)^x
3^(x+5) = 3^(2x)
x + 5 = 2x
5 = x
2007-10-29 17:47:13 · answer #1 · answered by Philo 7 · 0⤊ 0⤋
Did you mean 3^(x + 5) = 9^x?
The equation you wrote, as two solutions, both of which can not be written in an exact from without using the Lambert W Function. Which is going to be more complicated than what you want.
2007-10-29 17:49:05 · answer #2 · answered by Mαtt 6 · 0⤊ 0⤋
3^x+5 = 9^X
=3^2(x)
base are same
so power also must same
therefore
x+5 = 2x
5 = 2x- x
x = 5
2007-10-29 17:42:39 · answer #3 · answered by Harry Sun 1 · 0⤊ 1⤋
just sub those 4 numbers in to the calculator and see which one is right.
2007-10-29 17:39:50 · answer #4 · answered by Anonymous · 0⤊ 0⤋