Question

5^n-3= 1/25 What is the value of n

Answer 1

Happy New Year from MrBillDoesMath!

Answer:

n =     log(76/25) / log(5)

Discussion:

5^n  -3 = 1/25  =>                                        (add 3 to both sides)

5^n =  3 + 1/25 = 73/25 + 1/25 = 76/25     (take log;s of both sides)

log(5^n) = log (76/25)  =>

n log(5) =  log(76/25) =>

n =            log(76/25) / log(5)

Thank you,

MrB