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

log Subscript 2 Baseline 9 x cubed is equivalent to 2 log subscript 2 Baseline 3 + 3 log subscript 2 Baseline x

Step-by-step explanation:

Given:

log Subscript 2 Baseline 9 x cubed?

Required:

Find the equivalent of the above expression.

First, we need to represent it mathematically;

log Subscript 2 Baseline 9 x cubed =

From Laws of logarithm  

Note how the expression is split into two

We'll apply the same logic above, here

First, is to simplify the mathematical expression;

Then we split into two

Also from laws of logarithm,

We'll apply this law on and

So, becomes

log Subscript 2 Baseline 9 x cubed is equivalent to

can be represented as 2 log subscript 2 Baseline 3

and

can be represented as 3 log subscript 2 Baseline x

Hence, log Subscript 2 Baseline 9 x cubed is equivalent to 2 log subscript 2 Baseline 3 + 3 log subscript 2 Baseline x

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step-by-step explanation: