What is log_{7}((x+8)/(5x-10)) ?

The solution to log_{7}((x+8)/(5x-10)) is log_{7}(x+8)-log_{7}(5x-10)

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simplify log_{7}((x+8)/(5x-10))

simplify

lo g_{7} (\frac{x + 8}{5 x - 10})

lo g_{7} (x + 8) - lo g_{7} (5 x - 10)

Solution steps

lo g_{7} (\frac{x + 8}{5 x - 10})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{7} (\frac{x + 8}{5 x - 10}) = lo g_{7} (x + 8) - lo g_{7} (5 x - 10)

= lo g_{7} (x + 8) - lo g_{7} (5 x - 10)

3.8 + lo g_{10} (\frac{0.48}{0.22})

lo g_{b} (x^{4} z)

lo g_{6} (\frac{w ^{2}}{v})

lo g_{7} (\frac{x}{49})

What is log_{7}((x+8)/(5x-10)) ?
The solution to log_{7}((x+8)/(5x-10)) is log_{7}(x+8)-log_{7}(5x-10)