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Solving exponential equations

We can solve exponential equation using logs:


Example 1: Find the exact solution of 4e^{2x}=20.


Example 2: Solve the equation e^{x}+e^{-x}=2.


Example 3 – Solve 2^xe^{3x}=e^5.



Example 4 

Solve the equation   \log_2(x)=\log_x(5).