SOLUTION: just 2 questions that are linked if log(base 2)5 = x find an expression for... 1. log (base 2)20 = ?? 2. log (base 2)[(cube root 5)/2]=?? if u could answer these that wou

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: just 2 questions that are linked if log(base 2)5 = x find an expression for... 1. log (base 2)20 = ?? 2. log (base 2)[(cube root 5)/2]=?? if u could answer these that wou      Log On


   

Question 4752: just 2 questions that are linked
if log(base 2)5 = x find an expression for...
1. log (base 2)20 = ??
2. log (base 2)[(cube root 5)/2]=??
if u could answer these that would be a huge help thx
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let log+%282%2C5%29+=+x
#1.
Then log+%282%2C+20%29+=+log+%282%2C+2%5E2%2A5%29
= log++%282%2C+2%5E2%29+%2B+log+%282%2C+5%29+ Notice that the first is the exponent, which is 2, and the second is x.
= +2+%2B+x

#2. log+%282%2C+%285%5E%281%2F3%29%29%2F2+%29+
=log+%282%2C+%285%5E%281%2F3%29%29%29+-+log+%282%2C+2%5E1%29
= %281%2F3%29+%2Alog+%282%2C+5%29+-+1
= %281%2F3%29+%2Ax+-1+

R^2 at SCC