SOLUTION: If log 5= x, prove that log 125 = 3x/(2(1-x))

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If log 5= x, prove that log 125 = 3x/(2(1-x))      Log On


   



Question 1129800: If log 5= x, prove that log 125 = 3x/(2(1-x))
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
If log 5= x, prove that log 125 = 3x/(2(1-x))
——————————————————————————
+log%28b%2C%285%29%29+=+x+ —> +log%28b%2C%28125%29%29+=+log%28b%2C%285%5E3%29%29+=+3log%28b%2C%285%29%29+=+3x+

If one is to prove log(125) = 3x/(2(1-x)) then it can only hold for some specific base b, which must be provided by you the student. Certainly +b+%3C%3E+5+ as that causes division by zero.