Question

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

Answer 1

Answer: "y = 0.7 " (approximation) ; from inspection of the graph; and

considering that: " 10¹ = 10 " .

Answer 2

For y = 0.77 approximate 1 gives approximate 6.

Explanation:

Given: Using the graph of f(x)=log10x.

To find : approximate the value of y in the equation
`10^(y)` = 6.

Solution : We have given that f(x) =
`log_(10)(x)`.

From the graph For x = 6

f(x) =
`log_(10)(6)`.

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
`10^(0.77)` = 6.

5.88 = 6 .

Therefore, For y = 0.77 approximate 1 gives approximate 6.