What is (ln(a))/2-ln(b)-3ln(c) ?

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

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simplify (ln(a))/2-ln(b)-3ln(c)

simplify

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

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 ln (c) = ln (c^{3})

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

Rewrite

- ln (b) - ln (c^{3})

- (ln (b) + ln (c^{3}))

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

Apply log rule:

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

ln (b) + ln (c^{3}) = ln (b c^{3})

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

ln (\frac{- 4 i}{1 - i})

ln (\frac{b ^{\frac{1}{2}}}{c ( 0.8 - c )})

ln (x^{3}) + ln (x)

\frac{1}{8} ln (\frac{17}{26})

ln (A) - ln (B) + 4 ln (C)

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