Question

Pls help.
Question above

Answer 1

What is this type of math called please and what year/grade if you don’t mind me asking so I can be prepared

Answer 2

`m = (5)/(2)`

Explanation:

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

Indices:

•
`√(a) = {a}^{ (1)/(2) }`

•
`(1)/(a) = {a}^( - 1)`

Logarithm

•
`log_(a)( {x}^(n) ) = n log_(a)(x)`

`log_(m)( √(2) ) + log_(m)(8) + log_(m)( (1)/(2) )`

`= log_(m)( {2}^{ (1)/(2) } ) + log_(m)( {2}^(3) ) + log_(m)( {2}^( - 1) )`

`= (1)/(2) log_(m)(2) + 3 log_(m)(2) - log_(m)(2)`

`= (5)/(2) log_(m)(2)`