SOLUTION: Find the unknown quantity in the given equation. log10 x - 2 log10 3= log10 2

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Question 921641: Find the unknown quantity in the given equation.
log10 x - 2 log10 3= log10 2

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

+log%2810%2C+x%29+-+2log%2810%2C+3%29=+log%2810%2C+2%29

+log%2810%2C+x%29+-+log%2810%2C+3%5E2%29=+log%2810%2C+2%29

+log%2810%2C+x%29+-+log%2810%2C+9%29=+log%2810%2C+2%29

+log%2810%2C+x%2F9%29=+log%2810%2C+2%29 ...since log same, we have

+x%2F9=++2

+x=++2%2A9

+x=+18