Can someone please answer this algebra question?

Question

1. log subscript(m) (m^n) = ?

2. If $900 is invested in an account with an annual rate of 5% compounded quarterly, what is the amount in the account after 7 years?

Please show work. Thank you!!!

Answer 1

1.

log subscript(m) (m^n) = nlog sub m (m)

a log of a log's base = 1

nlog sub m (m) = n


2.

Amt = prin(1 + i)^(t)

T = 28 since there are 28 quarters

i = 0.05/4 to convert i to quarterly rate,

Amt = 900(1 + 0.05/4)^(28)

Amt = $1,274.39
.