What is log_{10}(3x+9)+log_{10}(x+8) ?

The solution to log_{10}(3x+9)+log_{10}(x+8) is log_{10}((3x+9)(x+8))

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simplify log_{10}(3x+9)+log_{10}(x+8)

simplify

lo g_{10} (3 x + 9) + lo g_{10} (x + 8)

lo g_{10} ((3 x + 9) (x + 8))

Solution steps

lo g_{10} (3 x + 9) + lo g_{10} (x + 8)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (3 x + 9) + lo g_{10} (x + 8) = lo g_{10} ((3 x + 9) (x + 8))

= lo g_{10} ((3 x + 9) (x + 8))

lo g_{b} (x) + lo g_{b} (x + 6) - lo g_{b} (24)

ln (\frac{x - 1}{x})

lo g_{10} (3) + lo g_{10} (x - 8)

2 [ln (x) + \frac{1}{4} ln (x + 9)]

lo g_{10} (3) + lo g_{10} (x - 4)

What is log_{10}(3x+9)+log_{10}(x+8) ?
The solution to log_{10}(3x+9)+log_{10}(x+8) is log_{10}((3x+9)(x+8))