What is log_{3}(27(x-4)^3) ?

The solution to log_{3}(27(x-4)^3) is 3+3log_{3}(x-4)

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simplify log_{3}(27(x-4)^3)

simplify

lo g_{3} (27 (x - 4)^{3})

3 + 3 lo g_{3} (x - 4)

Solution steps

lo g_{3} (27 (x - 4)^{3})

Apply log rule:

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

lo g_{3} (27 (x - 4)^{3}) = lo g_{3} (27) + lo g_{3} ((x - 4)^{3})

= lo g_{3} (27) + lo g_{3} ((x - 4)^{3})

Apply log rule:

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

lo g_{3} ((x - 4)^{3}) = 3 lo g_{3} (x - 4)

= lo g_{3} (27) + 3 lo g_{3} (x - 4)

lo g_{3} (27) = 3

= 3 + 3 lo g_{3} (x - 4)

4 (ln (7) - 2 ln (2)) - \frac{3}{7}

ln (\frac{2 ^{n}}{( 2 + n ) ^{\frac{3}{4}}})

0.7 ln (\frac{0.7 m}{p}) + 0.3 ln (\frac{0.3 m}{b})

- \frac{1}{3} (ln \frac{4}{3} + \frac{2}{3} x - ln - \frac{2}{3} + \frac{2}{3} x)

- lo g_{10} (4 (1 0^{- 5}))

What is log_{3}(27(x-4)^3) ?
The solution to log_{3}(27(x-4)^3) is 3+3log_{3}(x-4)