which equation is equivalent to $log_3(x + 5)=2$?\n$3^2=log_3(x + 5)^3$\n$2^3=log_3(x + 5)^2$\n$3^2=x +…

which equation is equivalent to $log_3(x + 5)=2$?\n$3^2=log_3(x + 5)^3$\n$2^3=log_3(x + 5)^2$\n$3^2=x + 5$\n$2^3=x + 5$

which equation is equivalent to $log_3(x + 5)=2$?\n$3^2=log_3(x + 5)^3$\n$2^3=log_3(x + 5)^2$\n$3^2=x + 5$\n$2^3=x + 5$

Answer

Explanation:

Step1: Recall log - exponential conversion rule

The rule for converting from logarithmic form $\log_{a}b = c$ to exponential form is $a^{c}=b$. In the given equation $\log_{3}(x + 5)=2$, where $a = 3$, $b=x + 5$ and $c = 2$.

Step2: Apply the conversion

By the rule $a^{c}=b$, we get $3^{2}=x + 5$.

Answer:

$3^{2}=x + 5$ (the third option)