Logarithm Problem : Find the number of real solutions of the equation
2
log
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skottyrottenmf
Answered question
2022-05-19
Logarithm Problem : Find the number of real solutions of the equation
My approach : Solution : Here right hand side is constant term so convert it into log of same base as L.H.S. therefore, 1 can be written as
Please suggest whether is it the right approach... thanks...
Answer & Explanation
soymmernenx
Beginner2022-05-20Added 10 answers
I think you went off the rails in the second line. Here's what I get
so that
and the equation becomes
or
This implies that or . In the former case, we have that in the latter, we have . However, in the latter case, we have a false solution, as which is outside the realm of the reals. Thus, the only solution is at