Answer
(a) False
(b) False
(c) True
(d) True
(e) False
(f) False
(g) False
(h) True
(i) False
(j) True
Work Step by Step
Use laws of logarithms on page 354.
(a) False, because $log(\frac{x}{y})=logx-logy\ne \frac{logx}{logy}$,
(b) False, because $log_2x-log_2y=log_2(\frac{x}{y})\ne log_2(x-y)$,
(c) True, because $log_5(\frac{a}{b^2})=log_5a-log_5b^2=log_5a-2log_5b$
(d) True, because $log2^z=log(2)^z=zlog2$
(e) False, because $logP+logQ=log(PQ)\ne (logP)(logQ)$,
(f) False, because $loga-logb=log(\frac{a}{b})\ne \frac{loga}{logb}$,
(g) False, because $xlog_27=log_27^x\ne (log_27)^x$
(h) True, because $log_aa^a=alog_aa=a$
(i) False, because $\frac{logx}{logy}=log_yx\ne log(x-y)$,
(j) True. because $-ln(\frac{1}{A})=-lnA^{-1}=lnA$
