SOLUTION: solve the equation for x (3/5)^x=(125/27) Not sure how you get the x, please help!!!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: solve the equation for x (3/5)^x=(125/27) Not sure how you get the x, please help!!!       Log On


   

Question 318988: solve the equation for x
(3/5)^x=(125/27)
Not sure how you get the x, please help!!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use logarithms.
%280.6%29%5Ex=125%2F27
x=log%280.6%2C%28125%2F27%29%29
x=log%28%28125%2F27%29%29%2Flog%28%280.6%29%29
x=0.66555%2F%28-0.22185%29
highlight%28x=-3%29
.
.
.
You could also have noticed that.
%283%2F5%29%5Ey=%2827%2F125%29
and 3%5E3=27 and 5%5E3=125
y=3
Since it was the reciprocal, the exponent would have been (-3).
x=-y=-3.