SOLUTION: Hi - I am trying to determine the diameter of a circle from the following equation: {{{ log base 4 of 16^8 inches}}}. Thank you!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Hi - I am trying to determine the diameter of a circle from the following equation: {{{ log base 4 of 16^8 inches}}}. Thank you!      Log On


   

Question 730858: Hi -
I am trying to determine the diameter of a circle from the following equation:
+log+base+4+of+16%5E8+inches.
Thank you!
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
To display log%28b%2Ca%29 you can put log(b,a) inside the curly brackets,

using properties of logaritms (log%28b%2Ca%5Em%29=m%2Alog%28b%2Ca%29) and 4%5E2=16
Otherwise, you could use properties of powers to think of it as

and the definition of logarithm to go from
16%5E%288inches%29=4%5E%2816inches%29 to log%284%2C16%5E8+inches%29=16inches