# Test: Exponential and Logarithmic Function - Normal

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Question 1:   Which graph represents a function:  $y={\left(\frac{1}{7}\right)}^{x}+1$    Question 2:   How many roots are in the equation:  ${3}^{x}=x$
$1$
$2$
$3$
$0$
Question 3:   How many roots are in the equation:  ${5}^{x}={x}^{2}$
$3$
$0$
$2$
$1$
Question 4:   Solve the equation:  ${4}^{x}=256$
$x=5$
$x=\frac{4}{3}$
$x=4$
$x=3$
Question 5:   Find the root of the function  $y={e}^{\left(x-3\right)}-1$  by plotting a graph
$x=2$
$x=0$
$x=1$
$x=3$
Question 6:   Find the root of a function  $y={\mathrm{log}}_{5}\left(2x-2\right)$  by plotting a graph
$x=2$
$x=1.5$
$x=0$
$x=5$
Question 7:   Find root of a function  $y={6}^{\left(x-2.5\right)}-1$  by plotting a graph
$x=6$
$x=1$
$x=2.5$
$x=1.5$
Question 8:   Solve the equation  ${\mathrm{log}}_{2}\left(4x+5\right)=1$
$x=1$
$x=\frac{3}{4}$
$x=-\frac{3}{4}$
$x=0$
Question 9:   Find the root of a function  $y={\left(\frac{1}{2}\right)}^{\left(x-3\right)}-1$  by plotting a graph
$x=0$
$x=3$
$x=1$
$x=2$
Question 10:   Find the coordinates of a point A on the graph of a function  $y={e}^{\left(2x-1\right)}-2$ $A\left(0;{e}^{-1}\right)$
$A\left(0;-2\right)$
$A\left(0;{e}^{-1}-2\right)$
$A\left(0;1\right)$