Answer
a) $\log ({ab^{2}})$
b) $ ln(x-5)$
c) $\log_{2}(\frac{3\sqrt {x+1}}{x^{3}})$
Work Step by Step
a) $\log a + 2\log b= \log ({ab^{2}})$
b) $ ln (x^{2}-25)- ln(x+5)= ln(\frac{x^{2}-25}{x+5})= ln(x-5)$
c) $\log_{2}3-3\log_{2}x+\frac{1}{2}\log_{2}(x+1)=\log_{2}(\frac{3}{x^{3}})+\frac{1}{2}\log_{2}(x+1)=\log_{2}(\frac{3\sqrt {x+1}}{x^{3}})$
