SOLUTION: find the values given that log base a 25 = 0.846 and log base a 4 =0.173: find, log base a 10a find, log base a 0.25^25 for the first one, my thinking is that I need to squa

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: find the values given that log base a 25 = 0.846 and log base a 4 =0.173: find, log base a 10a find, log base a 0.25^25 for the first one, my thinking is that I need to squa      Log On


   

Question 964945: find the values given that log base a 25 = 0.846 and log base a 4 =0.173:
find, log base a 10a
find, log base a 0.25^25
for the first one, my thinking is that I need to square 25*4 to get 10, but what about the a? where does that come from?
for the second one I am not sure at all
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find the values given that log base a 25 = 0.846 and log base a 4 =0.173:
find, log base a 10a
log%28a%2C100%29+=+log%28a%2C25%2A4%29+=+log%28a%2C25%29+%2B+log%28a%2C4%29+=+1.019
log%28a%2C10%29+=+log%28a%2Csqrt%28100%29%29+=+%281%2F2%29log%28a%2C100%29
= 0.5095
-------------------------
find, log base a 0.25^25
0.25%5E25+=+4%5E-25
log%28a%2C4%5E-25%29+=+-25%2Alog%28a%2C4%29
= -4.325