SOLUTION: solve for x in the simplest form. logb x^2 - logb 2a= logb 3a

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Question 947476: solve for x in the simplest form. logb x^2 - logb 2a= logb 3a
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
log%28b%2Cx%5E2%29-log%28b%2C+2a%29=+log%28b%2C+3a%29

log%28b%2Cx%5E2%2F2a%29=+log%28b%2C+3a%29.....if log same then
x%5E2%2F2a=3a
x%5E2=3a%2A2a
x%5E2=6a%5E2
x=sqrt%286a%5E2%29
solutions: x=a%2Asqrt%286%29 or x=-a%2Asqrt%286%29