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Solving a log equation algebraically?
- Thread starter twohaha
- Start date
Hello, twohaha!
It cannot be solved algebraically.
It is a transcendental equation.
It has an \(\displaystyle x\) "inside" a transcendental function (log) and "outside", too.
Other examples are: .\(\displaystyle \begin{Bmatrix} \sin x \:= \: x \\ 3^x \:=\: x \\ \tan^{\text{-}1}x \:= \: x \end{Bmatrix}\)
\(\displaystyle \text{Solve for }x\!:\;\;\log_{\frac{989}{942}} \left(\dfrac{79x}{90} + 1\right) \:=\: x\)
It cannot be solved algebraically.
It is a transcendental equation.
It has an \(\displaystyle x\) "inside" a transcendental function (log) and "outside", too.
Other examples are: .\(\displaystyle \begin{Bmatrix} \sin x \:= \: x \\ 3^x \:=\: x \\ \tan^{\text{-}1}x \:= \: x \end{Bmatrix}\)