in the problems below, $f(x) = \log_{2}x$ and $g(x) = \log_{10}x$.

how are the graphs of $f$ and $g$ similar? check all that apply.
both have a y-intercept of 1
both increase from left to right
both have an asymptote of $x = 0$
both have a domain of all real numbers

which point do the graphs of $f$ and $g$ have in common?
(\underline{\quad}, \underline{\quad})

for $x 1$, the graph of which function increases faster?

Question

in the problems below, $f(x) = \log_{2}x$ and $g(x) = \log_{10}x$.

how are the graphs of $f$ and $g$ similar? check all that apply.
  both have a y-intercept of 1
  both increase from left to right
  both have an asymptote of $x = 0$
  both have a domain of all real numbers

which point do the graphs of $f$ and $g$ have in common?
(\underline{\quad}, \underline{\quad})

for $x > 1$, the graph of which function increases faster?

Accepted Answer

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QUESTION IMAGE

Question

Explanation:

Analyze the similarities of the graphs

Find the common point of intersection

Compare the rate of increase for \(x > 1\)

Answer:

Question 1

Question 2

Question 3