Question

Which expression is equivalent to log2 9x^3

Answer 1

The Correct Answer Is A. log29+3log2x

Answer 2

ANSWER


`log_(2)(9 {x}^(3) ) = log_(2)(9 ) +3 log_(2)( {x} )`


Step-by-step explanation

We have the logarithmic expression,

`log_(2)(9 {x}^(3) )`


Recall the product rule of logarithm,





`log_(a)( MN ) = log_(a)( M) + log_(a)( N )`

We apply thus law to get,




`log_(2)(9 {x}^(3) ) = log_(2)(9 ) + log_(2)( {x}^(3) )`


Recall again that,

`log_(a)( { M}^(n) ) =n log_(a)( { M})`

We apply this law too to obtain,




`log_(2)(9 {x}^(3) ) = log_(2)(9 ) +3 log_(2)( {x} )`