What is log_{8}(x)+3log_{8}(2x-5)-7log_{8}(x-3) ?

The solution to log_{8}(x)+3log_{8}(2x-5)-7log_{8}(x-3) is log_{8}(x)+log_{2}(2x-5)-7log_{8}(x-3)

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simplify log_{8}(x)+3log_{8}(2x-5)-7log_{8}(x-3)

simplify

lo g_{8} (x) + 3 lo g_{8} (2 x - 5) - 7 lo g_{8} (x - 3)

lo g_{8} (x) + lo g_{2} (2 x - 5) - 7 lo g_{8} (x - 3)

Solution steps

lo g_{8} (x) + 3 lo g_{8} (2 x - 5) - 7 lo g_{8} (x - 3)

Simplify

3 lo g_{8} (2 x - 5) : lo g_{2} (2 x - 5)

= lo g_{8} (x) + lo g_{2} (2 x - 5) - 7 lo g_{8} (x - 3)

ln (\frac{e ^{x} ln ( 3 )}{3})

- lo g_{10} (7.5 \cdot 1 0^{- 3})

- lo g_{10} (4.3 \cdot 1 0^{- 7})

- \frac{5}{6} lo g_{2} (\frac{5}{6}) - \frac{1}{6} lo g_{2} (\frac{1}{6})

lo g_{10} (100000 x)

What is log_{8}(x)+3log_{8}(2x-5)-7log_{8}(x-3) ?
The solution to log_{8}(x)+3log_{8}(2x-5)-7log_{8}(x-3) is log_{8}(x)+log_{2}(2x-5)-7log_{8}(x-3)