What is ln(wx)+(3x+1)ln(x) ?

The solution to ln(wx)+(3x+1)ln(x) is 3xln(x)+2ln(x)+ln(w)

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simplify ln(wx)+(3x+1)ln(x)

simplify

ln (w x) + (3 x + 1) ln (x)

3 x ln (x) + 2 ln (x) + ln (w)

Solution steps

ln (w x) + (3 x + 1) ln (x)

Apply log rule:

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

ln (w x) = ln (w) + ln (x)

= ln (w) + ln (x) + ln (x) (3 x + 1)

= ln (w) + ln (x) + ln (x) (3 x + 1)

Expand

ln (x) (3 x + 1) : 3 x ln (x) + ln (x)

= ln (w) + ln (x) + 3 x ln (x) + ln (x)

Simplify

ln (w) + ln (x) + 3 x ln (x) + ln (x) : 3 x ln (x) + 2 ln (x) + ln (w)

= 3 x ln (x) + 2 ln (x) + ln (w)

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

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

0.6 ln (1372.5) + 0.6 ln (1647)

\frac{1}{2} ln (4 t^{4}) - ln (b)

ln (\frac{7}{10})

What is ln(wx)+(3x+1)ln(x) ?
The solution to ln(wx)+(3x+1)ln(x) is 3xln(x)+2ln(x)+ln(w)