All in Good Form
Write the equation log864 = 2 in exponential form.
What is 82 = 64 ?
Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the Richter scale measurement of an earthquake with intensity 35,000,000. Round your answer to four decimal places.
What is 7.5441 ?
log3 9
What is 2 ?
This is also known as the common base.
What is 10?
Write the equation 25 = 32 in logarithmic form.
What is log2 32 = 5 ?
The time t (in years) required for an investment to double with interest compounded continuously depends on the interest rate r according to the function:
t(r) = ln(2)/r
Determine the length of time needed for an initial investment of $1000 to double if the interest rate is 3.5%.
Round your answer to 1 decimal place.
What is 19.8 years?
log6 6
What is 1 ?
Approximate ln(2) - log(3)
to 3 decimal places.
What is 0.216 ?
Write the equation
(1/5)-3 = 125
in logarithmic form.
What is log1/5 125 = -3 ?
The loudness level of a sound, D, in decibels, is given by the formula
D = 10log(1012I),
where I is the intensity of the sound, in watts per meter2. The sound of a blue whale can be heard 500 miles away, reaching an intensity of 6.3x106 watts per meter2.
Find the decibel level of this sound. Round your answer to the nearest whole number.
What is 188 decibels?
log2 (1/16)
What is -4 ?
Evaluate eln(5.3).
What is 5.3 ?
Write the equation logX M = N in exponential form.
What is XN = M ?
The formula pH = - log[H+]
represents the pH of a liquid as a function of its concentration of hydrogen ions, [H+] (in mol/L).
The pH scale ranges from 0 to 14. A pH less than 7 is acidic while a pH greater than 7 is alkaline (or basic).
Find the pH for lemon juice which has a [H+] concentration of 1x10-2 mol/L. Round your answer to 1 decimal place.
What is 2.0 ?
log5(9\/5)
What is 1/9 ?
Simplify log 10y-1
What is y-1 ?
Write the equation log 100 = 2 in exponential form.
What is 102 = 100 ?
On August 31, 1854, an epidemic of cholera was discovered in London, England, resulting from a contaminated community water pump. By the end of September, more than 600 citizens who drank water from the pump had died. The cumulative number of deaths D(t) at a time t days after August 31 is given by
D(t) = 91 + 160ln(t + 1).
Determine the cumulative number of deaths by September 15. Round to the nearest whole number.
What is 535 ?
log7 \/(1/7)
What is -1/2 ?
Solve the equation:
ln(x) = 3
What is x = e3 ?