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

Solution:

Given: Function f(x) = log₁₀x

It can be written as

y = log₁₀x

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 = log₁₀x 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