91Ó°ÊÓ

An artifact originally had 16 grams of carbon- 14 present. The decay model \(A-16 e^{-9000121}\) describes the amount of carbon- 14 present after \(t\) years Use this model to solve Exercises \(15-16\). How many grams of carbon-14 will be present in \(11,430\) years?

In Exercises \(1-40,\) use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \log _{b} x^{7} $$

In Exercises \(11-18\), graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. $$ h(x)-\left(\frac{1}{3}\right)^{x} $$

Write each equation in its equivalent logarithmic form. $$ b^{3}=1000 $$

In Exercises \(11-18\), graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. $$ f(x)-(0.6)^{x} $$

The half-life of the radioactive element krypton-91 is 10 scoonds. If 16 grams of krypton-91 are initially present, how many grams are present after 10 seconds? 20 seconds? 30 seconds? 40 seconds? 50 seconds?

In Exercises \(1-40,\) use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \log N^{-6} $$

In Exercises \(1-40,\) use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \log M^{-8} $$

In Exercises \(11-18\), graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. $$ f(x)-(0.8)^{x} $$

Write each equation in its equivalent logarithmic form. $$ b^{3}=343 $$