Chapter 10: Exponential and Logarithmic Relations

Identify the equation $y=8$as a type of function. Then graph the function.

Find the inverse of the matrix

if it exists.

Find the inverse of the matrix

$\left[\begin{array}{cc}2& 4\\ 5& 10\end{array}\right]$

if it exists.

Find the inverse of the matrix

if it exists.

A circular cell must deliver $18$watts of energy. If each square centimeter of the cell that is in sunlight produces 0.01 watt of energy, how long must the radius of the cell be?

Find $g\left[h\left(x\right)\right] \text{and}h\left[g\left(x\right)\right]$for the functions $h\left(x\right)=2x-1 \text{and}g\left(x\right)=x-5$.

Find $g\left[h\left(x\right)\right] \text{and}h\left[g\left(x\right)\right]$for the functions $h\left(x\right)=x+3\text{and}g\left(x\right)=x^2$.

Find $g\left[h\left(x\right)\right] \text{and}h\left[g\left(x\right)\right]$for the functions $h\left(x\right)=2x+5\text{and}g\left(x\right)=-x+3$.

Evaluate the expression ${\log }_2\left(\frac{1}{8}\right)$.

Determine whether the function $y={\left(0.5\right)}^x$represents exponential growth or decay.