SOLUTION: Solve for x : log4 (x^2) = log2 (2x-1)
A large part of my difficulty with this one is that I think most calculators have Log10 set as the default log, and I don't know how to c
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Question 987574: Solve for x : log4 (x^2) = log2 (2x-1)
A large part of my difficulty with this one is that I think most calculators have Log10 set as the default log, and I don't know how to change that to do this equation.
Answer by ikleyn(52799) (Show Source): You can put this solution on YOUR website!
.
Your equation is
= .
It is not about using a calculator. It is about solving the equation.
The domain is 2x - 1 > 0, or x > .
First, you have = , since = .
Substitute it into the equation. You will have
= ,
= ,
= .
Hence,
= ,
= ,
= .
= = .
= = . It is in the domain.
= = . It is outside the domain.
Answer. There is the unique solution = .
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