Evaluate
log1000
What is 3?
25x=125x-2
What is 6?
Growth or Decay: y=0.4(2)x
What is growth?
Expand: log x3y6
What is 3 log x+6 log y?
The amount someone will have if $4000 is invested for 5 years at 4.5% interest continuously compounded.
What is $5009.29?
log5(1/625)
What is -4?
logx9=2/3
What is 27?
The domain of y=2(0.5)x - 5.
What is all real numbers?
Condense: 4log x-2log y + 6log z
What is log [(x4z6)/y2]?
The number of years it will take $600 to double at 1.5% interest, compounded continuously. Round to the nearest tenth of a year.
What is 46.2 years?
log 16 4
What is 1/2?
log4x=3
What is 64?
The domain of y=log3(x-9).
What is x>9?
Solve for x: log x + log (x+9) = 1
What is 1?
The rate of depreciation of a $17500 car if it is worth $12000 after 2 years. Use the model y=aekt.
What is (-)18.9%?
log6 243 (round to 4DP)
What is 3.0657?
log x = 2.7896 (round to 4DP)
What is 616.0274?
The principal for an account that is worth $5000 after 10 years with an interest rate of 2.5%, compounded quarterly.
What is $3897.03?
Solve for x: log2 (x+1) + log2 (x-2) = 2
What is 3?
The half-life of radium-226 is 1600 years. Find a function that models the mass, f(t), remaining after t years. Use the model f(t)=aekt. Round k to 4DP.
What is f(t)=ae-0.0004t?
log363-log37
What is 2?
7x=88 (round to 4DP)
What is 2.3009?
Solve for x: log4(x+1) - log816 + log4(x-1) = log279
What is sqrt(17)?
Solve for x: 3log x = log 2 + log 5 (round to 4DP)
What is 2.1544?
The half-life of carbon-14 is 5730 years. How old is a mummy having only 30% of the normal amount of carbon-14?
What is 9952.8 years old?