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k0ka [10]
3 years ago
10

Pls help. Question above

Mathematics
2 answers:
noname [10]3 years ago
8 0

Answer:

m =  \frac{5}{2}

Step-by-step explanation:

Here are the laws which would be used in this question:

<u>Indices:</u>

• \sqrt{a}  =   {a}^{ \frac{1}{2} }

• \frac{1}{a}  =  {a}^{ - 1}

<u>Logarithm</u>

• log_{a}( {x}^{n} )  = n log_{a}(x)

log_{m}( \sqrt{2} )  +  log_{m}(8)  +  log_{m}( \frac{1}{2} )

=  log_{m}( {2}^{ \frac{1}{2} } )  +  log_{m}( {2}^{3} )  +  log_{m}( {2}^{ - 1} )

=  \frac{1}{2}  log_{m}(2)  + 3 log_{m}(2)   -  log_{m}(2)

=  \frac{5}{2}  log_{m}(2)

GrogVix [38]3 years ago
6 0
What is this type of math called please and what year/grade if you don’t mind me asking so I can be prepared
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