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

Question 106642: Exponential equation without using logs. Solve for x:
5^(-3x+1)=15625
Found 2 solutions by edjones, Earlsdon:
Answer by edjones(8007) (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(6294) (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.

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