What is simplify-ln(2)-m+mln(m+1)+ln(m+1)+1 ?

The solution to simplify-ln(2)-m+mln(m+1)+ln(m+1)+1 is ln((m+1)/2)-m+mln(m+1)+1

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simplify-ln(2)-m+mln(m+1)+ln(m+1)+1

simplify

- ln (2) - m + m ln (m + 1) + ln (m + 1) + 1

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

Solution steps

- ln (2) - m + m ln (m + 1) + ln (m + 1) + 1

Apply log rule:

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

ln (m + 1) - ln (2) = ln (\frac{m + 1}{2})

= ln (\frac{m + 1}{2}) - m + m ln (m + 1) + 1

- 0.7 \cdot lo g_{2} (0.7) - (1 - 0.7) \cdot lo g_{2} (1 - 0.7)

- 0.8436 ln (\frac{1}{12})

3 lo g_{m} (y) - \frac{1}{3} lo g_{m} (x) + 6 lo g_{m} (w)

ln (\frac{x + 3}{x + 1})

\frac{3}{x} - ln (3 x)

What is simplify-ln(2)-m+mln(m+1)+ln(m+1)+1 ?
The solution to simplify-ln(2)-m+mln(m+1)+ln(m+1)+1 is ln((m+1)/2)-m+mln(m+1)+1