SOLUTION: please explain how to do this too.. i need these 3 that i cant figue out:) thanks Evaluate each logarithm. http://i732.photobucket.com/albums/ww330/school_hard/IMG_51361

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: please explain how to do this too.. i need these 3 that i cant figue out:) thanks Evaluate each logarithm. http://i732.photobucket.com/albums/ww330/school_hard/IMG_51361      Log On


   

Question 183555: please explain how to do this too.. i need these 3 that i cant figue out:)
thanks
Evaluate each logarithm.


http://i732.photobucket.com/albums/ww330/school_hard/IMG_51361.jpg
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you started

# 1

log%282%2C%2832%29%29 Start with the given logarithm


log%282%2C%282%5E5%29%29 Rewrite 32 as 2%5E5. The key here is we want the base to be 2


5%2Alog%282%2C%282%29%29 Use the identity log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 to rewrite the expression.


5%2A1 Evaluate the log base 2 of 2 to get 1


5 Multiply


So log%282%2C%2832%29%29=5


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# 2
log%2810%2C%28-100%29%29 Start with the given logarithm


y=log%2810%2C%28-100%29%29 Set "y" equal to the given logarithm


10%5Ey=-100 Convert to exponential form.


Now remember, any positive number raised to a variable power will ALWAYS be positive (ie a%5Ex%3E0 where "a" is a constant).

So 10%5Ey is ALWAYS positive. So 10%5Ey=-100 is NOT true for any "y" value.


So there are no solutions