SOLUTION: Find a logarithmic function f(x)=logb(x) such that the graph of f passes through the given point (64,2)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find a logarithmic function f(x)=logb(x) such that the graph of f passes through the given point (64,2)      Log On


   

Question 957252: Find a logarithmic function f(x)=logb(x) such that the graph of f passes through the given point
(64,2)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Find a logarithmic function
f%28x%29=log%28b%2C%28x%29%29
such that the graph of f passes through the given point
(64,2)
2=log%28b%2C%2864%29%29
2=log%28%2864%29%29%2Flog%28b%29
2log%28b%29=log%28b%2C64%29
log%28b%5E2%29=log%28b%2C64%29
b%5E2=64
b=sqrt%2864%29
b=8
f%28x%29=log%288%2C%28x%29%29