What is the answer to (ln(2x-5))/2 =ln(x-2) ?

The answer to (ln(2x-5))/2 =ln(x-2) is x=3

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(ln(2x-5))/2 =ln(x-2)

\frac{ln ( 2 x - 5 )}{2} = ln (x - 2)

x = 3

Solution steps

\frac{ln ( 2 x - 5 )}{2} = ln (x - 2)

Multiply both sides by

2

\frac{ln ( 2 x - 5 )}{2} \cdot 2 = ln (x - 2) \cdot 2

Simplify

ln (2 x - 5) = ln (x - 2) \cdot 2

Apply log rules

2 x - 5 = (x - 2)^{2}

Solve

2 x - 5 = (x - 2)^{2} : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

ln (x) \cdot e = 0

ln (7 - 4 x) = 10

lo g_{10} (x^{2}) = 2.0279

0 = 1 - ln (x)

x = - ln (2 - x)

What is the answer to (ln(2x-5))/2 =ln(x-2) ?
The answer to (ln(2x-5))/2 =ln(x-2) is x=3
Solve for x: (ln(2x-5))/2 =ln(x-2)
The solution is x=3