What is 3ln(-1/2 (ln(b)+ln(c^2))) ?

The solution to 3ln(-1/2 (ln(b)+ln(c^2))) is 3ln(-1/2 ln(bc^2))

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simplify 3ln(-1/2 (ln(b)+ln(c^2)))

simplify

3 ln (- \frac{1}{2} (ln (b) + ln (c^{2})))

3 ln (- \frac{1}{2} ln (b c^{2}))

Solution steps

3 ln (- \frac{1}{2} (ln (b) + ln (c^{2})))

Apply log rule:

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

ln (b) + ln (c^{2}) = ln (b c^{2})

= 3 ln (- \frac{1}{2} ln (b c^{2}))

\frac{- 10 \cdot ln ( \frac{80}{180} )}{ln ( \frac{55}{180} ) + ln ( \frac{80}{180} )}

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

ln (\frac{103.5}{100})

\frac{- 3}{8} \cdot ln (- 8 x + 5) + ln (k)

lo g_{e} (a + b) + lo g_{e} (a - b) - 2 lo g_{e} (c)

What is 3ln(-1/2 (ln(b)+ln(c^2))) ?
The solution to 3ln(-1/2 (ln(b)+ln(c^2))) is 3ln(-1/2 ln(bc^2))