roots of quation log2(n2-4n+5)=n-2 are

Ans:Hello Student,Please find answer to your question belowis always +ve for all values of n. So domain is OK.Now, if we draw the graphFor n = 2, it touches the x – axis.And forFor n = 2, it touche the x – axis.From the grapg it is clear that n = 2 is the solution.

BACK

Grade 11Algebra

roots of quation log₂(n²-4n+5)=n-2 are

shyam sundar

14 Years agoGrade 11

1 Answer

Jitender Singh

11 Years ago

Ans:
Hello Student,
Please find answer to your question below

$log_{2}(n^{2}-4n+5) = n-2$
$f(n) = n^{2}-4n+5$
is always +ve for all values of n. So domain is OK.
Now, if we draw the graph
$f_{1}(n) = log_{2}(n^{2}-4n+5)$
For n = 2, it touches the x – axis.
And for
$f_{2}(n) = n-2$
For n = 2, it touche the x – axis.
From the grapg it is clear that n = 2 is the solution.