Using the graph of f(x) = log10x below, approximate the value of y in the equation 10^y = 6.
Log base 10 graph
y ≈ 0.01, y ≈ 1.48, y ≈ -2.01, y ≈ 0.78

Solution:

Given: Function f(x) = log₁₀x

It can be written as

y = log₁₀x

10^y = x (Using the log formula)

Substituting the values

10^y = 6

10^0.78 ≈ 6

Therefore, the value of y is 0.78.

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

Summary:

Using the graph of f(x) = log10x below, the value of y in the equation 10^y = 6 is 0.78.