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

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

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simplify 1+2log_{10}(x)-log_{10}(x+2)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{10} (x^{2}) - lo g_{10} (x + 2) = lo g_{10} (\frac{x ^{2}}{x + 2})

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

ln (\frac{1}{- 2})

ln (\frac{50}{60})

e^{x} + ln (x) + 2 ln (y)

ln (1 - x^{7}) - ln (1 - x^{5})

e^{5} + ln (16 x)

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