Math Help please!

Question

Jimmy invests $17, 000 in an account that pays 6.67 % compounded quarterly. How long (in years and months) will it take for his investment to reach $24,000 ?

Answer 1

A = P(1 + r/n)^nt

24,000 = 17,000(1 + .0667/4)^4(t)

1.41176 = 1.016675^4t

log 1.41176 = log 1.016675^4t

log 1.41176 = 4t(log 1.016675)

log 1.41176 = 4t

log 1.016675

21.10828 = 4t

5.277 years = t