Log
log8 512= ?
ln(e) =?
What is 1?
$4,000 is invested in a savings account that has 3% interest compounded continuously and is left there for 18 years. Find the accumulated amount.
What is $6,864.03?
In a lab experiment, there are 4,000 bacteria present initially, and 9,000 are present 2 hours later. What is the initial amount?
What is 4,000?
What is ln(1)?
What is zero?
Condense the log: log(5x) + 2log(7y)
What is log(35xy2 )?
e4x+e-6x=?
$6,000 is invested in a savings account that has 7% interest compounded semiannually and is left there for 10 years. Find the accumulated amount.
What is Q(t) = Q0ekt?
Find the derivative of ln[(3x)(4x5+6x2)5].
What is [3(4x5+6x2)5+15x(4x5+6x2 )4(20x4+12x) all over (3x)(4x5+6x2)5?
Expand the log: log(6x4/y7 )
(e6x-e-x)2=?
What is e12x-2e5x+e-2x?
$16,000 is invested in a savings account that has 5% interest compounded semiannually. How long will it take for the account to grow to $18,000?
What is 2.38 years?
The formula for an exponential decay function is:
What is Q(t) = Q0e-kt?
What is the formula for the rate of change of exponential decay?
What is x3+2xln(5x)?
Find the derivative of f(x) = xe-5x+8.
What is e-5x+8-5xe-5x+8?
$8,000 is invested in a savings account that has 9% interest compounded daily. How long will it take for the account to grow to $20,000?
What is 10.16 years?
In a lab experiment, there are 5,000 bacteria present initially, and 8,500 are present 3 hours later. How many bacteria will be present at the end of 5 hours?
What is 12,108 bacteria?
The half life of radium is 1600 years. Suppose there is 2000mg of radium initially. How many mg of radium will be present after 400 years?
What is 1681.9mg?
Find the derivative of f(x) = ln(6x7+8x4+6x+1).
What is (42x6+32x3+6)/(6x7+8x4+6x+1)?
Find the derivative of f(x) = e-9x/ex
What is e-9?
$9,500 is invested in a savings account that is compounded continuously and will remain there for 20 years. What interest rate is needed to grow the account to $11,000?
What is 0.73%?
In the previous problem, k= 0.1769 and Q(5)=12,108. Find the rate of growth of the population of bacteria after 5 hours.
What is 2,141.9?
In the previous problem, k=-0.000433 and Q(400)=1681.9. How fast is the amount of radium decaying after 400 years?