Which equation is equivalent to log Subscript 3 Baseline (x + 5) = 2?

The correct option is right-bracket squared 3 squared = x+5

Step-by-step explanation:

The equation is / log _{3} (x+5) = 2

Option a: / log _{3} (x+5) = 3^{2}

This is not possible because using logarithmic rule, if / log _{a} b=c then b=a^{c}

Hence, option a is not equivalent to / log _{3} (x+5) = 2

Option b: / log _{3} (x+5) = 2^{3}

This is not possible because using logarithmic rule, if / log _{a} b=c then b=a^{c}

Hence, option b is not equivalent to / log _{3} (x+5) = 2

Option c: x+5=3^{2}

This is possible because using logarithmic rule, if / log _{a} b=c then b=a^{c}

Hence, option c is equivalent to / log _{3} (x+5) = 2

Option b: x+5=2^{3}

This is not possible because using logarithmic rule, if / log _{a} b=c then b=a^{c}

Hence, option b is not equivalent to / log _{3} (x+5) = 2

Thus, the correct option is c: x+5=3^{2}

Hence, the equation x+5=3^{2} is equivalent to / log _{3} (x+5) = 2