Take logs of both sides.Always the same technique.
If 5^n =3125
then log(5^n) = log 3125
n log 5 = log 3125
n= (log 3125)/log5.
log 3125 = 3.495 approx and log 5 = 0.7 approx
so answer in this case is
n=3.495/0.7 = 4.99 approx. ( I rounded off the numbers,you will see that if you
raise 5 to the power 4.99 you actually get 3075)
Take logs of both sides.Always the same technique.
If 5^n =3125
then log(5^n) = log 3125
n log 5 = log 3125
n= (log 3125)/log5.
log 3125 = 3.495 approx and log 5 = 0.7 approx
so answer in this case is
n=3.495/0.7 = 4.99 approx. ( I rounded off the numbers,you will see that if you
raise 5 to the power 4.99 you actually get 3075)
+36916 Agree with Guest #1 ... if you do it all on the calculator without 'rounding' you will find n = 5
