SOLUTION: I for the life of me cannot figure out how to do these. Can you please help? Thanks! 1. Simplify 9^log9(7) 2. Simplify log9 1/729 3. Simplify log2 1/2 4. Simplify log8

Question 869213: I for the life of me cannot figure out how to do these. Can you please help? Thanks!
1. Simplify 9^log9(7)
2. Simplify log9 1/729
3. Simplify log2 1/2
4. Simplify log8 32
5. Simplify log6 216
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
1. Simplify 9^log9(7)=7
Base raised to log of number=number
..
2. Simplify log9 1/729
log9 1/729= log9 1/9^3=log9 (9^-3)=-3
log of base raised to exponent=exponent
..
3. Simplify log2 1/2
log2 1/2=log2 (2^-1)=-1
for same reason as problem 2
..
4. Simplify log8 32
log8 32=log2 32/log2 8=5/3
change of base from 8 to 2
..
5. Simplify log6 216
log6 216=log6 6^3=3
for same reason as problem 2
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