SOLUTION: (1/2)log(base 6)(16x)=3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: (1/2)log(base 6)(16x)=3      Log On


   

Question 80061This question is from textbook McDougal Littel Algebra 2
: (1/2)log(base 6)(16x)=3 This question is from textbook McDougal Littel Algebra 2

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
%281%2F2%29Log%5B6%5D%2816x%29+=+3 Multiply both sides by 2.
Log%5B6%5D%2816x%29+=+6 Rewrite this in exponential form:Log%5Bb%5D%28x%29=y--->:b%5Ey+=+x
6%5E6+=+16x Evaluate.
46656+=+16x Divide both sides by 16.
2916+=+xAnswer is: x = 2916