Question 438224: Evaluate log 6 144 + 2 log 6 3. give an exact answer
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Evaluate log 6 144 + 2 log 6 3. give an exact answer
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log6(144) + 2 log6 (3)
log6(144) + log6 (3^2)
log6(144*3^2)=log6(144*9) (multiplication rule)
log6(1296)=log6(216)+log6(6)
Base raised to logarithm of number=number
6^x=216
x=3=log of 216, base 6
..
6^x=6
x=1=log of 6, base 6
ans:
log6(144) + 2 log6 (3)=3+1=4
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