What is log_{10}(3x)+log_{10}(x+2)7 ?

The solution to log_{10}(3x)+log_{10}(x+2)7 is log_{10}(3x(x+2)^7)

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simplify log_{10}(3x)+log_{10}(x+2)7

simplify

lo g_{10} (3 x) + lo g_{10} (x + 2) 7

lo g_{10} (3 x (x + 2)^{7})

Solution steps

lo g_{10} (3 x) + lo g_{10} (x + 2) \cdot 7

Apply log rule:

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

7 lo g_{10} (x + 2) = lo g_{10} ((x + 2)^{7})

= lo g_{10} (3 x) + lo g_{10} ((x + 2)^{7})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{10} (3 x) + lo g_{10} ((x + 2)^{7}) = lo g_{10} (3 x (x + 2)^{7})

= lo g_{10} (3 x (x + 2)^{7})

- lo g_{10} (9 \cdot 1 0^{- 10})

ln (1 - 2 y) - ln (1 - y)

lo g_{3} (\frac{1}{9 ∣ 49})

lo g_{10} (0.5) - lo g_{10} (x)

ln (\frac{8.74}{12})

What is log_{10}(3x)+log_{10}(x+2)7 ?
The solution to log_{10}(3x)+log_{10}(x+2)7 is log_{10}(3x(x+2)^7)