# SOLUTION: Evaluate 5^(2x+3) = 3^(x-1) Get bases the same or use ln. The numbers in () are exponents.

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

 Question 435006: Evaluate 5^(2x+3) = 3^(x-1) Get bases the same or use ln. The numbers in () are exponents.Answer by stanbon(57210)   (Show Source): You can put this solution on YOUR website!Evaluate 5^(2x+3) = 3^(x-1) Get bases the same or use ln. The numbers in () are exponents. ----- Changing the base 5 to base 3: Let 3^k = 5 k = ln(5)/ln(3) k = 1.4650 ---- Rewrite the problem: 3^[1.4650(2x+3)] = 3^(x-1) -------------------------------- Equation to solve: 1.4650(2x+3) = x-1 ---- 2.9299x+ 4.3949 = x-1 ---- 1.9299x = -5.3949 x = -2.7954 ================ Cheers, Stan H. =================