Question 106642
Solve for x:
{{{5^(-3x+1) = 15625}}}
Hint: Since you are not permitted to use logarithms, see if 15625 is a power of 5. Yes it is! {{{15625 = 5^6}}}
{{{5^(-3x+1) = 5^6}}}
Now use the fact that:
If {{{x^n = x^m}}} then n = m.
{{{-3x+1 = 6}}} Subtract 1 from both sides.
{{{-3x = 5}}} Divide both sides by -3.
{{{x = -5/3}}}