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}})

lo g_{10} (3) - lo g_{10} (12)

3 ln (2) - ln (5)

lo g_{2} (x) - lo g_{2} (x - 3)

4 lo g_{10} (x) + 5 lo g_{10} (y)

ln (\frac{x + 5}{e ^{4 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))