Question 69727
Exam around the corner last few problems from Chapter quiz's: 
Given that log(a)(x)=3.58 and log(a)(y)=4.79, find log(a)(y/x).
log(a)(x) = 3.58 and log(a)(y) = 4.79
x = a^3.58 and y = a^4.79
log(a)(a^4.79/a^3.58)
log(a)(a^1.21)
1.21
Write the expression log(a)(y+5) + 2log(a)(x+1) as one logarithm.
log(a)(y+5) + log(a)(x+1)^2
log(a)(y+5)(x+1)^2
Solve the equation ln(x + 5) - ln(3) = ln(x - 3).
ln(x + 5) - ln(3) = ln(x - 3)
ln((x + 5)/3) = ln(x - 3)
(x + 5)/3 = x - 3
x + 5 = 3x - 9
14 = 2x
7 = x
The population P of a certain culture is expected to be given by a model P=100e^rt where r is a constant to be determined and t is a number of days since the original population of 100 was established. Find the value of r if the population is expected to reach 200 in 3 days
P = 100e^(rt)
200 = 100e^(3r)
2 = e^(3r)
ln(2) = 3r
ln(2)/3 = r
Find the exact solution to the equation 3^x+5=9^x.
3^(x + 5) = 9^x
3^(x + 5) = 3^2x
x + 5 = 2x
5 = x
The other story problems are just like the first.