Question 69727This question is from textbook Algebra & Trigonometry with Geometry
: 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).
Write the expression log(a)(y+5)+2log(a)(x+1) as one logarithm.
Solve the equation 1n(x+5)-1n(3)=1n(x-3).
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.
Find the exact solution to the equation 3^x+5=9^x.
The amount A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A=Pe^rt where r is expressed as a decimal. How many years will it take an initial investment of $1,000 to grow to $1,700 at the rate of 4.42% compounded continously?
The amount of a radioactive tracer remaining after t days is given by A=A0 e^-0.058t. where A0 is the starting amount at the beginning of the time period. How many days will it take for one half of the original amount to decay?
Thanks for helping me prep for my exam. Respectfully, John
This question is from textbook Algebra & Trigonometry with Geometry
Answer by Nate(3500)   (Show Source):
You can put this solution on YOUR website! 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.
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