Question

Need anwser ASAP


What is the solution of logc x^2-1/5x?


A) log x^2 - logc 5x-1

B) 2logcx-(logc5 + logcx)-1

C) logc(x^2-1) - (logc5 + logcx)

D) 2logcx- logc 1- logc5 + logcx

Answer 1

$\text{Use:}\ \log_a x-\log_a y=\log_a\dfrac{x}{y}\\\\\log_a x+\log_ay=\log_a(xy)$

$\log_c\dfrac{x^2-1}{5x}=\log_c(x^2-1)-\log_c5x=\log_c(x^2-1)-(\log_c5+\log_cx)$

Answer: C).