SOLUTION: What is the exact value of 4+2log3(7x)=10? And how do you find that without using a calculator?

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Question 431228: What is the exact value of 4+2log3(7x)=10? And how do you find that without using a calculator?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
4%2B+2log%283%2C+7x%29+=+10
<==> 2log%283%2C7x%29+=+6
<==> log%283%2C7x%29+=+3
<==> 3%5E3+=+27+=+7x
==> x = 27/7.
Since this value also satisfies the original equation, this is the final answer.