# 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) = log_{10}x

It can be written as

y = log_{10}x

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.

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