91Ó°ÊÓ

Given that \(\log 5=0.6990\) and \(\log 9=0.9542,\) use the propertics of logarithms to approximate the following $$\log \frac{1}{5}$$

Graph each logarithmic function. $$f(x)=\log _{1 / 2} x$$

The function \(N(t)=10,000 e^{0.0492 t}\) describes the number of bacteria in a culture \(t\) hr after \(10,000\) bacteria were placed in the culture. How many bacteria are in The culture after 1 day?

Given that \(\log 5=0.6990\) and \(\log 9=0.9542,\) use the propertics of logarithms to approximate the following $$\log 5^{8}$$

Graph each logarithmic function. $$f(x)=\log _{1 / 3} x$$

How many bacteria are present 2 days after 6000 bacteria are placed in a culture if the number of bacteria in the culture is $$N(t)=6000 e^{0.0285 t}$$ \(t\) hr after the bacteria is placed in a dish? In chemistry, the \(\mathrm{pH}\) of a solution is given by $$ \mathrm{pH}=-\log \left[\mathrm{H}^{+}\right]$$ where \(\left[\mathrm{H}^{+}\right]\) is the molar concentration of the hydronium ion. A neutral solution has \(\mathrm{pH}=7\). Acidic solutions have \(\mathrm{pH}<7,\) and basic solutions have \(\mathrm{pH}>7\) .

The hydronium ion concentrations, \(\left[\mathrm{H}^{+}\right],\) are given for some common substances. Find the \(\mathrm{pH}\) of each substance (to the tenths place), and determine whether each substance is acidic or basic. $$\text { Cola: }\left[\mathrm{H}^{+}\right]=2 \times 10^{-3}$$

Graph each logarithmic function. $$f(x)=\log _{1 / 4} x$$

Given that \(\log 5=0.6990\) and \(\log 9=0.9542,\) use the propertics of logarithms to approximate the following $$\log 90$$

The hydronium ion concentrations, \(\left[\mathrm{H}^{+}\right],\) are given for some common substances. Find the \(\mathrm{pH}\) of each substance (to the tenths place), and determine whether each substance is acidic or basic. $$\text { Tomatoes: }\left[\mathrm{H}^{+}\right]=1 \times 10^{-4}$$