What is the answer to (ln(2x-5))/2 =6 ?

The answer to (ln(2x-5))/2 =6 is x=(e^{12}+5)/2

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(ln(2x-5))/2 =6

\frac{ln ( 2 x - 5 )}{2} = 6

x = \frac{e ^{12} + 5}{2}

Decimal Notation

x = 81379.89570 \dots

Solution steps

\frac{ln ( 2 x - 5 )}{2} = 6

Multiply both sides by

2

ln (2 x - 5) = 12

Apply log rules

2 x - 5 = e^{12}

Solve

2 x - 5 = e^{12} : x = \frac{e ^{12} + 5}{2}

x = \frac{e ^{12} + 5}{2}

Verify Solutions:

x = \frac{e ^{12} + 5}{2}

True

The solution is

x = \frac{e ^{12} + 5}{2}

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What is the answer to (ln(2x-5))/2 =6 ?
The answer to (ln(2x-5))/2 =6 is x=(e^{12}+5)/2
Solve for x: (ln(2x-5))/2 =6
The solution is x=(e^{12}+5)/2