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NISA [10]
3 years ago
7

Which expression is equivalent to log2 9x^3?

Mathematics
2 answers:
marishachu [46]3 years ago
8 0

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.

devlian [24]3 years ago
4 0

Answer:

log2^9+3log2x

Step-by-step explanation:

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