Question

Evaluate the expression $3^{{\log }_{3}21}$.

Short answer

The simplified value of expression is $21$.

Step-by-step solution

Step 1. Write down the given expression.

The given expression is $3^{{\log }_{3}21}$.

Step 2. Simplify the expression.

The given expression $3^{{\log }_{3}21}$is evaluated as:

$\begin{array}{l}{3}^{{\log }_{3}21}=3^{{\log }_3\left(21\right)}\\ =\mathrm{21....}\left(\because a^{{\log }_a\left(x\right)}=x\right)\end{array}$

Step 3. Conclusion.

The simplified value of expression is $21$.