Mathematics
7 Online
OpenStudy (hba):
Value of x in log5x = 4logx5 is
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (hba):
@hartnn
hartnn (hartnn):
draw the question
OpenStudy (hba):
Ok
OpenStudy (hba):
Ok\[\log_{5}x=4\log_{x}5\]
hartnn (hartnn):
use :
\(\huge\log_ab= \frac{log b}{loga}\)
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (hba):
logx/log5=4log5/logx whats next ??
hartnn (hartnn):
try to bring log x on one side and other terms on other side of = sign
OpenStudy (hba):
(logx)(logx)=4(log5)(log5)
OpenStudy (hba):
What do i do next ?? @hartnn
hartnn (hartnn):
yup, take square root on both sides after writing log x . logx as (log x)^2
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (hba):
logx=2log5
hartnn (hartnn):
now use
\(nlog x =log x^n\)
OpenStudy (hba):
logx=log5^2
hartnn (hartnn):
what is 5^2 ?
OpenStudy (hba):
25
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (hba):
logx=log25
OpenStudy (hba):
so x=25
hartnn (hartnn):
yes..
OpenStudy (anonymous):
5 ^4
OpenStudy (hba):
but i think i will get 2 answers
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
\[\log_{x}5^a = a \log_{x}5 \]
hartnn (hartnn):
how 2 ?
OpenStudy (anonymous):
use this so u will get x = 5^4 =625 , do u get it @hba
OpenStudy (hba):
25 and 1/25
OpenStudy (hba):
@akash_809 Please dont confuse me
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (hba):
Options given .A) 25, 1/25 B) 1, -1 C) 0, 1 D) 2, 3 E) 4, 5
hartnn (hartnn):
when u take square root, u also get -*minus*
so u also get 1/25
OpenStudy (hba):
Ok Boss Thanks :)
hartnn (hartnn):
welcomes :)