What is the answer to 5ln(2x-9)-12=18 ?

The answer to 5ln(2x-9)-12=18 is x=(e^6+9)/2

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5ln(2x-9)-12=18

5 ln (2 x - 9) - 12 = 18

x = \frac{e ^{6} + 9}{2}

Decimal Notation

x = 206.21439 \dots

Solution steps

5 ln (2 x - 9) - 12 = 18

Move

12

to the right side

5 ln (2 x - 9) = 30

Divide both sides by

5

ln (2 x - 9) = 6

Apply log rules

2 x - 9 = e^{6}

Solve

2 x - 9 = e^{6} : x = \frac{e ^{6} + 9}{2}

x = \frac{e ^{6} + 9}{2}

Verify Solutions:

x = \frac{e ^{6} + 9}{2}

True

The solution is

x = \frac{e ^{6} + 9}{2}

lo g_{10} (x + 1) = 0

lo g_{10} (\frac{x + 9}{x}) = 2

lo g_{3} (x^{2} - 3 x - 7) = 1

y, x = lo g_{e} (y - 2)

lo g_{4} (x) - lo g_{4} (x - 2) = 2

What is the answer to 5ln(2x-9)-12=18 ?
The answer to 5ln(2x-9)-12=18 is x=(e^6+9)/2
Solve for x: 5ln(2x-9)-12=18
The solution is x=(e^6+9)/2