# Test: Logarithms II - Normal

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Question 1:   Find $x$, if ${\mathrm{log}}_{4}\left(5+3x\right)=3$
$x=1$
$x=5$
$x=\frac{29}{3}$
$x=\frac{59}{3}$
Question 2:   Find $x$, if ${\mathrm{log}}_{5}\left(2x+3\right)={\mathrm{log}}_{5}\left(x\right)$
$x=1$
$x=6$
$x=-3$
$x=3$
Question 3:   Compare logarithms based on the properties of the logarithmic function ${\mathrm{log}}_{\frac{1}{2}}\left(8\right)$ and ${\mathrm{log}}_{\frac{1}{2}}\left(512\right)$
They are equal
Cannot be compared
Question 4:   Find $x$, if ${\mathrm{log}}_{4}\left(x\right)=2$
$16$
$4$
$2$
$1$
Question 5:   Find the value of ${\mathrm{log}}_{2}26-{\mathrm{log}}_{2}13=...$
$4$
$5.7$
$1$
$4.6$
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