What is log_{10}(x(x+1)^4) ?

The solution to log_{10}(x(x+1)^4) is log_{10}(x)+4log_{10}(x+1)

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simplify log_{10}(x(x+1)^4)

simplify

lo g_{10} (x (x + 1)^{4})

lo g_{10} (x) + 4 lo g_{10} (x + 1)

Solution steps

lo g_{10} (x (x + 1)^{4})

Apply log rule:

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

lo g_{10} (x (x + 1)^{4}) = lo g_{10} (x) + lo g_{10} ((x + 1)^{4})

= lo g_{10} (x) + lo g_{10} ((x + 1)^{4})

Simplify

lo g_{10} ((x + 1)^{4}) : 4 lo g_{10} (x + 1)

= lo g_{10} (x) + 4 lo g_{10} (x + 1)

lo g_{3} ((x - 8)^{2})

ln (1025) - ln (2)

lo g_{4} (16) - lo g_{4} (20) - lo g_{4} (5)

ln (\frac{1}{36})

lo g_{8} (3 x - 1) - 5 lo g_{8} (x)

What is log_{10}(x(x+1)^4) ?
The solution to log_{10}(x(x+1)^4) is log_{10}(x)+4log_{10}(x+1)