Write the exponential equation (1/2)^-3=8 in logarithmic form.
What is log (base 1/2) 8 = -3?
100
State the transformation(s) needed to graph y = log x - 4 from its parent graph?
What is shift down 4 ?
100
Mary invested $2700 at 5.2% interest compounded quarterly. Find out how much money is in her account after 7 years.
What is $3876.40?
100
Solve:
8^(2x)=8^(x+7)
What is x=7?
100
Solve:
log x = 3
What is 1000?
200
Without a calculator, simplify the expression:
log (base 64) 4
What is 1/3?
200
What is the asymptote of the graph of
f(x)= log(x + 2) -1 ?
What is x= -2 ?
200
If $500 is invested at 7% interest in an account compounded continuously, find the length of time it take for the account to reach a balance of $1250.
Round your answer to 1 decimal place.
What is 13.1 years?
200
Solve:
25^(x-4)=5^3x+1)
What is x=-9 ?
200
log (base 3) of (x-3) = 5
What is x = 246 ?
300
Simplify ln e ^(3x)
What is 3x ?
300
State the domain and range for y = log (x+3) -2
What has a domain of -3 to positive infinity and a range of all real numbers?
No brackets around the domain or range.
300
Use the formula M = (log E - 11.4)/1.5 , where E is the ergs released from an earthquake. Find the Richter scale measurement of an earthquake with 4.57 x 10^20 ergs.
Round your answer to the tenths.
What is 6.2?
300
Solve:
e^(2x)=7
What is 0.973?
300
Solve:
ln x = 4
Round your answer to 3 decimal places.
What is x= 54.598 ?
400
Condense log 5 + 6log x - 3 log y
What is log (5x^6)/y^3 ?
400
State the y-intercept of y = 3^(x+2) - 5
What is (0,4)?
400
Find the length of time that it will take to have a balance of $4000 in your account if you invest $1000 at an interest rate of 6.5% compounded monthly.
What is 4.4 years ?
400
Solve:
3e^(3 - x)= 15
Round your answer to 3 decimal places.
What is x= 1.39 ?
400
Solve:
3 ln x - 7 = 4
Round your answer to 3 decimal places.
What is x= 39.121 ?
500
Expand log (3x^4)^2
What is log 9 + 8 log x?
500
Graph y = log base 3 of (x-2). State the asymptote, domain and range.
See the board...
500
If the doubling time of a bacteria is known to be 5 hours, the population at time, t, is given by P = Po2^(t/5). If there are 800 bacteria present at t=0, measured in hours, when will the population reach 3000?
What is 9.5 hrs?
500
Solve:
5^(2x+1) + 2 = 4
Round your answer to 3 decimal places.
What is x = -0.285 ?
500
Solve:
log base 2 of (2x + 6) – log base 2 of (2x) = 3