SOLUTION: if log 2=p and log 3=q express the following logarithms in terms of p and q 1. log b 108=

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Question 632238: if log 2=p and log 3=q express the following logarithms in terms of p and q
1. log b 108=
Found 2 solutions by Tatiana_Stebko, lwsshak3:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
log%28b%2C+2%29=p log%28b%2C+3%29=q
Use the properties of logarithm
log%28n%2C+%28xy%29%29=log%28n%2Cx%29%2Blog%28n%2Cy%29
log%28n%2Cx%5Ek%29=k%2Alog%28n%2Cx%29

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
if logb(2)=p and logb(3)=q express the following logarithms in terms of p and q
1. logb(108)=logb[4*27]=logb[2^2*3^3]=2logb(2)+3logb(3)=2p+3q