# SOLUTION: please help me solve this using logarithms 8^(3x+4) = 3^x stuff to the right of the ^'s are exponents....thanks!

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: please help me solve this using logarithms 8^(3x+4) = 3^x stuff to the right of the ^'s are exponents....thanks!      Log On

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

 Click here to see ALL problems on Exponential-and-logarithmic-functions Question 35645: please help me solve this using logarithms 8^(3x+4) = 3^x stuff to the right of the ^'s are exponents....thanks!Answer by rapaljer(4667)   (Show Source): You can put this solution on YOUR website! First, take the ln of each side of the equation: By the third law of exponents, "bring the exponents down" to become coefficients: Distributive property: Get all the x terms on one side and the non-x terms on the other side. You might want to subtract from each side: Factor out the x on the left side in order to get the x in one place, so you can solve for x. Divide both sides by Calculate with a calculator: x = -1.618 approximately. Thank you so much for this problem!! I could put it on my final exam for College Algebra next week!! R^2 at SCC