Sample quiz on logarithmic functions
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- What is the relationship between the functions $f(x)=2^x$ and $g(x)=\log_2(x)$?
- What is the domain of the logarithmic function $y=\log x$?
- What is the range of the logarithmic function $y=\log x$?
- Find the equation of the vertical asymptote of the function $y=\log(x+4)$
- Find the $x$-intercept of the function $y=\log_{2}(x-2)$
- Rewrite $y=3^x$ in logarithmic form.
- What transformation takes $f(x)=\log x$ to $g(x)=\log(4x)$?
- Rewrite the equation $y=\log_{6}(\frac{1}{216})$ in exponential form.
- Find the value of $\log_{3}(729)$
- Relative to the parent function $f(x)=\log_{2}(x)$, what is the role of $3$ in $g(x)=-2\log_{2}(3x-2)-2$?