Question

in the problem, $f(x)=\log_{2}x$ and $g(x)=\log_{10}x$.
which point do the graphs of $f$ and $g$ have in common?

Explanation:

Step1: Recall log property for x=1

For any base $b>0, b
eq1$, $\log_b 1 = 0$

Step2: Evaluate f(1)

$f(1)=\log_2 1 = 0$

Step3: Evaluate g(1)

$g(1)=\log_{10} 1 = 0$

Answer:

$(1, 0)$