Solving logarithmic equation (e^x+e^(−x))/(e^x−e^(−x))=3 algebraically

Aubrie Mccall

Aubrie Mccall

Answered question

2022-10-07

Solving logarithmic equation ( e x + e x ) / ( e x e x ) = 3 algebraically
I can solve it using a graph, but how would I go about solving it algebraically.

Answer & Explanation

Tanya Anthony

Tanya Anthony

Beginner2022-10-08Added 5 answers

It can be solved by simple manipulation:
e x + e x = 3 e x 3 e x
2 e x + 4 e x = 0
e x 2 e x = 0
e 2 x = 2
ln e 2 x = ln 2
2 x = ln 2
x = ln 2 2

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