SOLUTION: Evaluate each logarithm. key: () means that number is the base.. thanks please do these.. i had like 50 to do and these are the most confusin one and i just cant figure out.. t

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Evaluate each logarithm. key: () means that number is the base.. thanks please do these.. i had like 50 to do and these are the most confusin one and i just cant figure out.. t      Log On


   

Question 188597: Evaluate each logarithm. key: () means that number is the base.. thanks
please do these.. i had like 50 to do and these are the most confusin one and i just cant figure out.. thanks

log(5)125
log(1/2)1/4
log(3)729
log(9)1/3
log(1/4)16
log(8)1/256
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first three to get you started


I'm using the identities: log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 and log%28b%2C%28b%29%29=1




# 1

log%285%2C%28125%29%29=log%285%2C%285%5E3%29%29=3%2Alog%285%2C%285%29%29=3%281%29=3


So log%285%2C%28125%29%29=3


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# 2




So log%281%2F2%2C%281%2F4%29%29=2

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# 3


log%283%2C%28729%29%29=log%283%2C%28%283%29%5E6%29%29=6%2Alog%283%2C%283%29%29=6%281%29=6


So log%283%2C%28729%29%29=6