Exam 13: Exponential Functions and Logarithmic Functions

Solve the problem. -The half-life of Cesium 134m is 3.0 hours. If the formula P(t) = gives the percent (as a decimal) remaining after time t (in hours), sketch P versus t.

Graph the function. -f(x) =

Convert to an exponential equation. -

Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH = -Find the pH if the .

Find f(x) and g(x) such that h(x) = -h(x) = - 9

Express as a sum of logarithms. -

Solve. -How long will it take for $7600 to grow to $23,400 at an interest rate of 2.1% if the interest is compounded quarterly? Round the number of years to the nearest hundredth.

Express as a single logarithm. -

Convert to a logarithmic equation. -

Graph both functions using the same set of axes. -

Find f(x) and g(x) such that h(x) = -h(x) =

Express as a difference of logarithms. -

Convert to a logarithmic equation. - = 36

Solve the equation. - = 15 (Round to the nearest thousandth.)

Graph the equation of the relation using a solid line, and then graph the inverse of the relation using a dashed line. -y = 2 + 3x

Graph the relation using solid circles and the inverse using open circles. -{(-3, -12), (-5, -11), (-7, -10), (-9, -9)}

Graph. -f(x) =

Solve the problem. -Use the formula , where the loudness of a sound in decibels is determined by I, the number of produced by the soundwave, and What is the intensity in watt/m2 of a noise measured at 35 decibels? Round to the nearest tenth.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why

Find the requested composition of functions. -Given f(x) = and g(x) = find