What is expand 5/7*(1+ln(7/5)) ?

The solution to expand 5/7*(1+ln(7/5)) is 5/7+5/7 ln(7/5)

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expand 5/7*(1+ln(7/5))

expand

\frac{5}{7} \cdot (1 + ln (\frac{7}{5}))

\frac{5}{7} + \frac{5}{7} ln (\frac{7}{5})

Solution steps

\frac{5}{7} (1 + ln (\frac{7}{5}))

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{5}{7}, b = 1, c = ln (\frac{7}{5})

= \frac{5}{7} \cdot 1 + \frac{5}{7} ln (\frac{7}{5})

= 1 \cdot \frac{5}{7} + \frac{5}{7} ln (\frac{7}{5})

Multiply:

1 \cdot \frac{5}{7} = \frac{5}{7}

= \frac{5}{7} + \frac{5}{7} ln (\frac{7}{5})

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What is expand 5/7*(1+ln(7/5)) ?
The solution to expand 5/7*(1+ln(7/5)) is 5/7+5/7 ln(7/5)