Question

find the value of x:
\log_{3} x = 5
x = ?

Explanation:

Step1: Recall the definition of logarithm

The logarithmic equation $\log_{b} a = c$ is equivalent to the exponential equation $b^{c}=a$. Here, $b = 3$, $c = 5$, and we need to find $a$ (which is $x$).

Step2: Convert the logarithmic equation to exponential form

Using the definition, we have $3^{5}=x$.

Step3: Calculate $3^{5}$

We know that $3^{5}=3\times3\times3\times3\times3 = 243$.

Answer:

243