What is expand log_{4}((12^3)/(7^6)) ?

The solution to expand log_{4}((12^3)/(7^6)) is 3log_{4}(12)-6log_{4}(7)

Popular >

expand log_{4}((12^3)/(7^6))

expand

lo g_{4} (\frac{1 2 ^{3}}{7 ^{6}})

3 lo g_{4} (12) - 6 lo g_{4} (7)

Decimal Notation

- 3.04462 \dots

Solution steps

lo g_{4} (\frac{1 2 ^{3}}{7 ^{6}})

Apply log rule:

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

lo g_{4} (\frac{1 2 ^{3}}{7 ^{6}}) = lo g_{4} (1 2^{3}) - lo g_{4} (7^{6})

= lo g_{4} (1 2^{3}) - lo g_{4} (7^{6})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{4} (1 2^{3}) = 3 lo g_{4} (12)

= 3 lo g_{4} (12) - lo g_{4} (7^{6})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{4} (7^{6}) = 6 lo g_{4} (7)

= 3 lo g_{4} (12) - 6 lo g_{4} (7)

- lo g_{10} (3.5 \cdot 1 0^{- 2})

ln (\frac{e ^{2} - e ^{4} - 1}{2 - 5})

\frac{1}{2} ln (20)

ln (x e^{- 15 x})

\frac{1}{1 - 2} \cdot ln (\frac{1}{2})

What is expand log_{4}((12^3)/(7^6)) ?
The solution to expand log_{4}((12^3)/(7^6)) is 3log_{4}(12)-6log_{4}(7)