SOLUTION: Help Please. Use the change of base rule to find the logarithm to four decimal places. log8 0.78

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Question 47368: Help Please.
Use the change of base rule to find the logarithm to four decimal places.
log8 0.78

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
log%28b%2Ca%29+=+log%2810%2Ca%29%2Flog%2810%2Cb%29
How Does That Work:
log%28b%2Ca%29+=+x
a+=+b%5Ex
log%2810%2Ca%29+=+x%2Alog%2810%2Cb%29
log%2810%2Ca%29%2Flog%2810%2Cb%29+=+x Also, remember that: log%28b%2Ca%29+=+x
log%2810%2Ca%29%2Flog%2810%2Cb%29+=+log%28b%2Ca%29
So:
log%288%2C0.78%29+=+log%2810%2C.78%29%2Flog%2810%2C8%29
About -0.1195