# Using the graph of f(x) = log_{10}x below, approximate the value of y in the equation 10^{y} = 5.

Log base 10 graph

**Solution:**

Given: Function f(x) = log_{10}x

It can be written as

y = log_{10}x

Using the logarithmic rule, we know that log_{b }a = x is written as b^{x }= a where b is the base, and a is the argument.

In this case, we have 10 as the base and x as the argument.

Thus y = log_{10}x is written as:

10^{y} = x

Substituting the values

10^{0.7} ≈ 5

Therefore, the value of y is 0.7

## Using the graph of f(x) = log10x below, approximate the value of y in the equation 10^{y }= 5.

**Summary:**

Using the graph of f(x) = log10x below, approximate the value of y in the equation 10^{y} = 5 is 0.7

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