What is log_{8}(3x+1)-5log_{8}(x) ?

The solution to log_{8}(3x+1)-5log_{8}(x) is log_{8}((3x+1)/(x^5))

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simplify log_{8}(3x+1)-5log_{8}(x)

simplify

lo g_{8} (3 x + 1) - 5 lo g_{8} (x)

lo g_{8} (\frac{3 x + 1}{x ^{5}})

Solution steps

lo g_{8} (3 x + 1) - 5 lo g_{8} (x)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

5 lo g_{8} (x) = lo g_{8} (x^{5})

= lo g_{8} (3 x + 1) - lo g_{8} (x^{5})

Apply log rule:

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

lo g_{8} (3 x + 1) - lo g_{8} (x^{5}) = lo g_{8} (\frac{3 x + 1}{x ^{5}})

= lo g_{8} (\frac{3 x + 1}{x ^{5}})

\frac{1}{2} lo g_{3} (x) - 2 lo g_{3} (y + 8)

- lo g_{10} (3.9 \cdot 1 0^{- 13})

68 ln^{2} (\frac{49}{25})

2 lo g_{m} (w) - \frac{1}{3} lo g_{m} (x) + 3 lo g_{m} (z)

lo g_{10} (4) + 2 lo g_{10} (x)

What is log_{8}(3x+1)-5log_{8}(x) ?
The solution to log_{8}(3x+1)-5log_{8}(x) is log_{8}((3x+1)/(x^5))