SOLUTION: Given that loga2=0.3010 and loga3=0.4771, find loga18

Question 144254: Given that loga2=0.3010 and loga3=0.4771, find loga18
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the second equation

Multiply both sides by 2

Multiply 2 and 0.4771 to get 0.9542

Rewrite the expression using the identity

Square 3 to get 9

Now add

Combine the logs using the identity

Multiply

Since , this means that

So
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