SOLUTION: If log[4](sqrt64)=(a)/(b) (where the fraction is written in reduced form,) then a=? and b=?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: If log[4](sqrt64)=(a)/(b) (where the fraction is written in reduced form,) then a=? and b=?      Log On


   

Question 193715: If log[4](sqrt64)=(a)/(b) (where the fraction is written in reduced form,) then a=? and b=?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
... Start with the given expression.


... Take the square root of 64 to get 8.


... Break the log using the change of base formula.


... Rewrite 8 as 2%5E3. Rewrite 4 as 2%5E2.


... Pull down the exponents.


... Cancel out the common terms.


So