SOLUTION: which of the following is equivalent to log base 4 of 64^x ? 1) 4^3x 2) 3^x 3) 4x 4) .25x 5) 3x

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: which of the following is equivalent to log base 4 of 64^x ? 1) 4^3x 2) 3^x 3) 4x 4) .25x 5) 3x      Log On


   



Question 449645: which of the following is equivalent to log base 4 of 64^x ?
1) 4^3x 2) 3^x 3) 4x 4) .25x 5) 3x

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Based on the definition of logarithmic and exponential functions we write:
log%284%2C+64%5Ex%29=y=> 4%5Ey=64%5Ex=>4%5Ey=4%5E%283x%29=>y=3x.
Answer:log%284%2C+64%5Ex%29, is equivalent to 3x.