Question

Log5 n-4logn 5=3

Answer 1

\[\log_5n-4\log_n5=3\]
\[\log_5n-\log_n5^4=3\]
\[\log_5n-\frac{\log_55^4}{\log_5n}=3\]
\[\log_5n-\frac{4}{\log_5n}=3\]

Answer 2

then

Answer 3

\[\log_5n-\frac{4}{\log_5n}=3\]
\[(\log_5n)^2-4=3\log_5n\]
\[(\log_5n)^2-3\log_5n-4=0\]
Factor
\[(\log_5n+1)(\log_5n-4)=0\]
\[\log_5n+1=0~~~~~~\text{and}~~~~~\log_5n-4=0\]
Solve

Answer 4

owhh....thanks brooo...

Answer 5

welcome ;)