Question

Which equation is equivalent to log Subscript 3 Baseline (x + 5) = 2? 3 squared = left-bracket log Subscript 3 Baseline (x + 5) right-bracket cubed 2 cubed = left-bracket log Subscript 3 Baseline (x + 5) right-bracket squared 3 squared = x + 5 2 cubed = x + 5

Answer 1

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 $\log _{3}(x+5)=2$

Answer 2

Answer:

The correct answer is C

Step-by-step explanation: