What is expand log_{x}((a)(4)) ?

The solution to expand log_{x}((a)(4)) is log_{x}(a)+2log_{x}(2)

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expand log_{x}((a)(4))

expand

lo g_{x} ((a) (4))

lo g_{x} (a) + 2 lo g_{x} (2)

Solution steps

lo g_{x} ((a) (4))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{x} ((a) (4)) = lo g_{x} (a) + lo g_{x} (4)

= lo g_{x} (a) + lo g_{x} (4)

lo g_{x} (4) = 2 lo g_{x} (2)

= lo g_{x} (a) + 2 lo g_{x} (2)

lo g_{a} (\frac{M}{N})

2 lo g_{3} (2) + lo g_{3} (5)

ln (\frac{x ^{2} + 5 x + 6}{( x + 3 ) ( x - 2 )})

9 ln (cos^{2} (t)) + 9 ln (1 + tan^{2} (t))

lo g_{3} (5) + lo g_{3} (8) - lo g_{3} (2)

What is expand log_{x}((a)(4)) ?
The solution to expand log_{x}((a)(4)) is log_{x}(a)+2log_{x}(2)