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A day full of math games & activities. Find one near you.

# Using the graph of f(x) = log10x below, approximate the value of y in the equation 10^{y} = 4.

Log base 10 graph

**Solution:**

f(x) = log_{10}x

It can be written as y = log_{10}x

It can be written using the logarithmic rule in the exponential form as

10^{y} = x

Substituting the values

10^{0.61} ≈ 4

Therefore, the value of y is 0.61.

## Using the graph of f(x) = log10x below, approximate the value of y in the equation 10y = 4.

Log base 10 graph

**Summary: **

Using the graph of f(x) = log10x below, the value of y in the equation 10y = 4 is 0.61.

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