SOLUTION: Please help me solve this equation:{{{loga b^2*logb a^3=6}}}

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Question 926736: Please help me solve this equation:loga+b%5E2%2Alogb+a%5E3=6

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

if you mean
log%28a%2C+b%5E2%29%2Alog%28b%2C+a%5E3%29=6 then
log%28a%2C+b%5E2%29%2Alog%28b%2C+a%5E3%29=6
%28log%28b%5E2%29%2Flog%28a%29%29%2A%28log%28+a%5E3%29%2Flog%28b%29%29=6
%282log%28b%29%2A3log%28+a%29%29%2F%28log%28a%29log%28b%29%29=6
%286log%28b%29%2Alog%28a%29%29%2F%28log%28a%29log%28b%29%29=6

6=6....proof that log%28a%2C+b%5E2%29%2Alog%28b%2C+a%5E3%29=6