Question 1173001
t≈ 3.84 years


start by plugging the information provided within the question into the compound interest formula for n compounds per year: A=P(1 + r/n)^(nt), where: 
A= Final Amount 
P = Principal (initial investment)
r = APR (annual percent rate, decimal)
t = number of years
n = number of compounds per year

you should get: 95,000 = 80,000(1 + 0.045/4)^(4t)

steps: 
start with 95,000 = 80,000(1 + 0.045/4)^(4t)
then add the values in the parentheses to get 95,000 = 80,000(1.01125)^(4t)
after that you divide both sides of the equation by 80,000 and get 19/16 = 1.01125^(4t)
then you can convert the decimal into a fraction -> (809/800)^(4t) = 19/16 (i swapped the two sides of the equation so you could see the where the arrow was pointing to) 
after that, you take the logarithm of both sides of the equation and get 4t = log(base 809/800)(19/16)
finally divide both sides of the equation by 4 to get: t = 1/4 log(base 809/800)(19/16)

you should have access to a calculator for this so you can input t = 1/4 log(base 809/800)(19/16) into the calculator and it will give you
t ≈3.84034 which you could also round to 4 years