What is 19/2 log_{2}(7/5)-19/2 ?

The solution to 19/2 log_{2}(7/5)-19/2 is 19/2 log_{2}(7)-19/2 log_{2}(5)-19/2

Popular >

simplify 19/2 log_{2}(7/5)-19/2

simplify

\frac{19}{2} lo g_{2} (\frac{7}{5}) - \frac{19}{2}

\frac{19}{2} lo g_{2} (7) - \frac{19}{2} lo g_{2} (5) - \frac{19}{2}

Decimal Notation

- 4.88844 \dots

Solution steps

\frac{19}{2} lo g_{2} (\frac{7}{5}) - \frac{19}{2}

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{2} (\frac{7}{5}) = lo g_{2} (7) - lo g_{2} (5)

= \frac{19}{2} (lo g_{2} (7) - lo g_{2} (5)) - \frac{19}{2}

Expand

\frac{19}{2} (lo g_{2} (7) - lo g_{2} (5)) : \frac{19}{2} lo g_{2} (7) - \frac{19}{2} lo g_{2} (5)

= \frac{19}{2} lo g_{2} (7) - \frac{19}{2} lo g_{2} (5) - \frac{19}{2}

lo g_{r} (11 x)

ln (x) + ln (y) + ln (z)

- \frac{8}{13} lo g_{2} (\frac{8}{13}) - \frac{5}{13} lo g_{2} (\frac{5}{13})

lo g_{4} (\frac{x ^{2} + x - 2}{x ^{2} - x})

What is 19/2 log_{2}(7/5)-19/2 ?
The solution to 19/2 log_{2}(7/5)-19/2 is 19/2 log_{2}(7)-19/2 log_{2}(5)-19/2