Prove the following:
1. log a(xy) = log a^x + log a ^y
2. log am^n = n loga^m
3. log m^n = n log m
Plz solve
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1.log a^(xy)=log a^x+log a^y
Let log a^x be p and log a^y be q
p=log a^x x=a^p
q=log a^y y=a^q
x*y=a^(p+q)
log a^xy=p+q
log a^xy=log a^x+log a^y
2.log a^m^n=nlog a^m
p=log a^m^n
m^n=a^p
m=a^p/n
log a^m=p/n
p=nlog a^m
log a^m^n=nlog a^m
3.almost the same as the second prove
Let log a^x be p and log a^y be q
p=log a^x x=a^p
q=log a^y y=a^q
x*y=a^(p+q)
log a^xy=p+q
log a^xy=log a^x+log a^y
2.log a^m^n=nlog a^m
p=log a^m^n
m^n=a^p
m=a^p/n
log a^m=p/n
p=nlog a^m
log a^m^n=nlog a^m
3.almost the same as the second prove
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