# SOLUTION: Exponential equation without using logs. Solve for x: 5^(-3x+1)=15625

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Exponential equation without using logs. Solve for x: 5^(-3x+1)=15625      Log On

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 Click here to see ALL problems on Exponential-and-logarithmic-functions Question 106642: Exponential equation without using logs. Solve for x: 5^(-3x+1)=15625Found 2 solutions by edjones, Earlsdon:Answer by edjones(7569)   (Show Source): You can put this solution on YOUR website!5^(-3x+1)=15625 5^(-3x+1)=5^6 convert to the same base 5 -3x+1=6 use exponents only -3x=6-1 -3x=5 x=-5/3 Ed Answer by Earlsdon(6287)   (Show Source): You can put this solution on YOUR website!Solve for x: Hint: Since you are not permitted to use logarithms, see if 15625 is a power of 5. Yes it is! Now use the fact that: If then n = m. Subtract 1 from both sides. Divide both sides by -3.