rewrite log₃t = 5 in exponential form.
rewrite log₃t = 5 in exponential form.
Answer
Explanation:
Step1: Recall log - exponential conversion rule
The rule for converting a logarithmic equation $\log_{a}b = c$ to exponential form is $a^{c}=b$, where $a>0,a\neq1$, and $b > 0$. In the given equation $\log_{3}t = 5$, $a = 3$, $c = 5$, and $b=t$.
Step2: Apply the conversion rule
Substituting the values of $a$, $c$, and $b$ into the exponential - form equation $a^{c}=b$, we get $3^{5}=t$.
Answer:
$3^{5}=t$