What is ln(x)+ln(x^2)+ln(x^3) ?

The solution to ln(x)+ln(x^2)+ln(x^3) is 2ln(x^3)

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simplify ln(x)+ln(x^2)+ln(x^3)

simplify

ln (x) + ln (x^{2}) + ln (x^{3})

2 ln (x^{3})

Solution steps

ln (x) + ln (x^{2}) + ln (x^{3})

Apply log rule:

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

ln (x) + ln (x^{2}) = ln (x^{2} x)

= ln (x^{2} x) + ln (x^{3})

Simplify

x x^{2} : x^{3}

= ln (x^{3}) + ln (x^{3})

Add similar elements:

ln (x^{3}) + ln (x^{3}) = 2 ln (x^{3})

= 2 ln (x^{3})

3 ln (6) - 3 ln (\frac{1}{2})

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

2 lo g_{10} (x) - 10 lo g_{10} (y)

ln (e^{x} + 1) - ln (e^{- x} + 1)

ln (x) - ln (x^{2} + 4)

What is ln(x)+ln(x^2)+ln(x^3) ?
The solution to ln(x)+ln(x^2)+ln(x^3) is 2ln(x^3)