# Solve logarithmic equations

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Solving logarithmic equations

1

------------ = 4

e^x - e^(-x)

ln(x^2) = ln(9)

5^(3x+4) = 2^(1-5x)

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#### Solution Preview

Question 1:

1

------------ = 4

e^x - e^(-x)

1 = 4e^x -4e^(-x)

e^x = 4e^2x - 4 (multiplying through by e^x)

let z = e^x

z = 4z^2 - 4

4z^2 - z - 4 = 0

Use the quadratic ...

#### Solution Summary

Logarthmic equations are solved.

$2.49