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

for those seeking a simplified answer, Its c on edge

Explanation:

Answer 2

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

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`