Question

Which expression is equivalent to log Subscript 2 Baseline 9 x cubed? log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x log Subscript 2 Baseline x + 3 log Subscript 2 Baseline 9 3 log Subscript 2 Baseline x minus log Subscript 2 Baseline 9 3 log Subscript 2 Baseline 9 minus log Subscript 2 Baseline x

Answer 1

Answer:

log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x.

Log₂ 9 + 3Log₂ x

Step-by-step explanation:

Log subscript 2 baseline 9 x cubed can be written as:

Log₂ 9x³

Now, let us simply Log₂ 9x³.

This is illustrated below:

Log₂ 9x³

Recall: LogMN = Log M + Log N

Log₂ 9x³ = Log₂ 9 + Log₂ x³

Recall: Log Mⁿ = nLog M

Log₂ 9x³ = Log₂ 9 + 3Log₂ x

Therefore, the answer is log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x.