Question

Which expression is equivalent to log2 9x^3?

Answer 1

Answer:

Option 1 - $\log_{2}(9 {x}^{3} )=\log_{2}(9 ) +3 \log_{2}( {x} )$ - log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x

Step-by-step explanation:

Given : Expression $\log_2(9x^3)$

To find : Which expression is equivalent to given expression ?

Solution :

Expression $\log_2(9x^3)$

Applying logarithmic property, $\log_{a}( MN ) = \log_{a}( M) + \log_{a}( N )$

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

Using property, $\log_{a}( { M}^{n} ) =n \log_{a}( { M})$

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

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

Therefore, option 1 is correct.

Answer 2

Answer:

log2^9+3log2x

Step-by-step explanation: