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Solve (provide exact and approximate solutions) Steve204 if you could help that'd be great, you really helped me on the last problem!=)

Pinkpantherkat

by Pinkpantherkat at May 30, 2011

ln6 + logx - ln4 + log3= 2

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Pinkpantherkat -ln6 + logx - ln4 +log3 =2First, let's just rearrange some stuff:(ln6 - ln4) +(logx + log3) =2Now using the rules of logs (that you were suppose to memorize LOL):ln(6/4) + log(3x) = 2ln(1.5) + log(3x) = 2Now, more rearranging:log(3x) = 2 - ln(1.5)Now, assuming that log(3x) is "base 10" , exponentiate both sides of the equation:This now simplifies to:or further simplify to:So, x equals approximately 13.1043Hope that helped

Steve204 Steve204 May 30, 2011

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