using the graph of f(x)=log10x below, approximate the value of y in the equation 10^y=6

Answer:
For y = 0.77 approximate 1 gives approximate 6.
Step-by-step explanation:
Given: Using the graph of f(x)=log10x.
To find : approximate the value of y in the equation [tex]10^{y}[/tex] = 6.
Solution : We have given that f(x) = [tex]log_{10}(x)[/tex].
From the graph For x = 6
f(x) = [tex]log_{10}(6)[/tex].
y = 0.77
The solution to this system will be their intersection point.
The intersection point of these graph is (6,0.77).
Approximate 1 then [tex]10^{0.77}[/tex] = 6.
5.88 = 6 .
Therefore, For y = 0.77 approximate 1 gives approximate 6.