# SOLUTION: Solve the equation {{{2^(x^3)=3^(x^2)}}}

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Solve the equation {{{2^(x^3)=3^(x^2)}}}      Log On

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 Algebra: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

 Question 143994: Solve the equation Answer by jim_thompson5910(28707)   (Show Source): You can put this solution on YOUR website! Start with the given equation Take the log of both sides Rewrite the expressions using the identity Subtract from both sides Factor out the GCF or Set each individual factor equal to zero Let's solve the first equation Take the square root of both sides. So this is our first answer. -------------- Now let's solve the second equation Add to both sides Divide both sides by to isolate x Use the change of base formula to simplify. So this is our other answer. ------------------------------------------------------------------------------ Answer: So the solutions are or which approximate to or