given that log x=p and y=q express log(xy)^2 in the terms of p and q
Answers
Answered by
5
given log x=p and y=q
form log x=p; x= inv log p
put the value of x and y into log(xy)^2 which is nothing but 2 (log x + log y);
2(log (inv log p) + log q) = 2(p+log q)= 2p +log(q)^2
form log x=p; x= inv log p
put the value of x and y into log(xy)^2 which is nothing but 2 (log x + log y);
2(log (inv log p) + log q) = 2(p+log q)= 2p +log(q)^2
shan14:
further explain...
log properties :
1.log a^n=nlog a 2.logab=log a + log b so we can write log(xy)^2=2log(xy)=2(log x+log y) now you can put the value of x and y into it. inv log p means (base)^p one more property of log is log x=b; x= (base of log)^p base. it may be base>2 in general we take base 2 or 10 otherwise log base given in questions
Similar questions