What is expand log_{4}((4a)/b) ?

The solution to expand log_{4}((4a)/b) is 1+log_{4}(a)-log_{4}(b)

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expand log_{4}((4a)/b)

expand

lo g_{4} (\frac{4 a}{b})

1 + lo g_{4} (a) - lo g_{4} (b)

Solution steps

lo g_{4} (\frac{4 a}{b})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{4} (\frac{4 a}{b}) = lo g_{4} (4 a) - lo g_{4} (b)

= lo g_{4} (4 a) - lo g_{4} (b)

Apply log rule:

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

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

= lo g_{4} (4) + lo g_{4} (a) - lo g_{4} (b)

Apply log rule:

lo g_{a} (a) = 1

= 1 + lo g_{4} (a) - lo g_{4} (b)

10.64 + lo g_{10} (\frac{0.13}{0.25})

- (ln (x + 1) + ln (x + 2))

ln (\frac{16.9 \cdot 1 0 ^{3}}{80})

lo g_{3} (sin (x) cos (x))

ln (1.2) - ln (0.6)

What is expand log_{4}((4a)/b) ?
The solution to expand log_{4}((4a)/b) is 1+log_{4}(a)-log_{4}(b)