Logs & Exponentials!
Write the exponential equation (1/2)-3=8 in logarithmic form.
What is log1/28 = -3?
State the transformation(s) needed to graph y = log x - 4 from its parent graph?
What is shift down 4 ?
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?
Solve: 82x=8x+7
What is x=7?
Solve: log x = 3
What is 1000?
Without a calculator, simplify the expression: log644
What is 1/3?
What is the asymptote of the graph of f(x)= log(x + 2) -1 ?
What is x= -2 ?
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?
Solve: 25x-4=53x+1
What is x=-9 ?
log3 (x-3) = 5
What is x = 246 ?
Simplify ln e3x
What is 3x ?
State the domain and range for y = log (x+3) -2
What has a domain of (-3, positive infinity) and a range of all real numbers?
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 1020 ergs. Round your answer to the tenths.
What is 6.2?
Solve: e2x=7
What is 0.973?
Solve: ln x = 4 Round your answer to 3 decimal places.
What is x= 54.598 ?
Condense log 5 + 6log x - 3 log y
What is log (5x6)/y3 ?
State the y-intercept of y = 3x+2 - 5
What is (0,4)?
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 ?
Solve: 3e3 - x= 15 Round your answer to 3 decimal places.
What is x= 1.39 ?
Solve: 3 ln x - 7 = 4 Round your answer to 3 decimal places.
What is x= 39.121 ?
Expand & simplify log (3x4)2
What is log 9 + 8 log x?
Graph y = log3(x-2). State the asymptote, domain and range.
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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?
Solve: 52x+1 + 2 = 4 Round your answer to 3 decimal places.
What is x = -0.285 ?
Solve: log2(2x + 6) – log2(2x) = 3
What is x=3/7 or x = 0.429?