Question

evaluate the expression without using a calculator.
10^log 21

10^log 21 = \square

Explanation:

Step1: Recall the inverse property of logarithms

For the common logarithm (base 10), the inverse property states that \(10^{\log x}=x\) for any positive real number \(x\).

Step2: Apply the property to the given expression

In the expression \(10^{\log 21}\), we can identify that \(x = 21\). Using the inverse property of logarithms \(10^{\log x}=x\), we substitute \(x = 21\) into the formula. So \(10^{\log 21}=21\).

Answer:

21