Question 86908
You should test your answer if X is 4.
---check:  4^4 = 4*4*4*4 = 256 (not equal 32, so X should not be 4)

---Solution:
{{{4^x=32 }}}
{{{ln(4^x)=ln(32) }}}
becomes {{{xln(4)=ln(32) }}}
becomes {{{x=ln(32)/ln(4) }}}
becomes {{{x=3.456/1.386 }}}
{{{x=2.5 }}}
Using the calculator to do ln(32)/ln(4) will give you exactly 2.5 without rounding.