SOLUTION: Evaluate the logarithmic expressions please explain: {{{log((base14))^((14))^((11))}}} {{{log((base3))^((1/27))}}} {{{log((base27))squareroot(3)}}} {{{((10))^((log((bas

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Evaluate the logarithmic expressions please explain: {{{log((base14))^((14))^((11))}}} {{{log((base3))^((1/27))}}} {{{log((base27))squareroot(3)}}} {{{((10))^((log((bas      Log On


   

Question 913303: Evaluate the logarithmic expressions please explain:
log%28%28base14%29%29%5E%28%2814%29%29%5E%28%2811%29%29
log%28%28base3%29%29%5E%28%281%2F27%29%29
log%28%28base27%29%29squareroot%283%29
%28%2810%29%29%5E%28%28log%28%28base10%29%29%5E%28%2842%29%29%29%29
The last is (log(base10)^42) it was hard to see
Thank you
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

log%2814%2C+14%5E%2811%29%29 = 11
log%283%2C+%281%2F27%29%29%29 = -3, 3^(-3) = 1/27
log%2827%2C+sqrt%283%29%29%29 = x = 1/6 (see following)
27^x = 3^(1/2)
3^3x = 3^(1/2)
3x = 1/2
x = 1/6
.....
log%2810%2C+10%5E%28x%29%29+=+x
10^42