What is expand log_{10}(10(x+1)^2) ?

The solution to expand log_{10}(10(x+1)^2) is 1+2log_{10}(x+1)

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expand log_{10}(10(x+1)^2)

expand

lo g_{10} (10 (x + 1)^{2})

1 + 2 lo g_{10} (x + 1)

Solution steps

lo g_{10} (10 (x + 1)^{2})

Apply log rule:

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

lo g_{10} (10 (x + 1)^{2}) = lo g_{10} (10) + lo g_{10} ((x + 1)^{2})

= lo g_{10} (10) + lo g_{10} ((x + 1)^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} ((x + 1)^{2}) = 2 lo g_{10} (x + 1)

= lo g_{10} (10) + 2 lo g_{10} (x + 1)

Apply log rule:

lo g_{a} (a) = 1

= 1 + 2 lo g_{10} (x + 1)

lo g_{3} (\frac{4 x}{5})

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

- lo g_{10} (1.5 \cdot 1 0^{- 11})

ln (2.2) + (ln (4.3)) + ln (6.15)

ln (\frac{x ^{2} - 6 x - 27}{x - 7})

What is expand log_{10}(10(x+1)^2) ?
The solution to expand log_{10}(10(x+1)^2) is 1+2log_{10}(x+1)