What is the answer to ln(2x-3)=-2 ?

The answer to ln(2x-3)=-2 is x=(1+3e^2)/(2e^2)

Solve for x: ln(2x-3)=-2

The solution is x=(1+3e^2)/(2e^2)

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ln (2 x - 3) = - 2

x = \frac{1 + 3 e ^{2}}{2 e ^{2}}

Decimal Notation

x = 1.56766 \dots

Solution steps

ln (2 x - 3) = - 2

Apply log rules

2 x - 3 = \frac{1}{e ^{2}}

Solve

2 x - 3 = \frac{1}{e ^{2}} : x = \frac{1 + 3 e ^{2}}{2 e ^{2}}

x = \frac{1 + 3 e ^{2}}{2 e ^{2}}

y, x = ln (y + 3)

lo g_{3} (x) + lo g_{3} (x - 2) = 0

20 = 10 lo g_{10} (x)

lo g_{x} (\frac{1}{2}) = - 1

lo g_{6} (2 x + 4) = 2

What is the answer to ln(2x-3)=-2 ?
The answer to ln(2x-3)=-2 is x=(1+3e^2)/(2e^2)
Solve for x: ln(2x-3)=-2
The solution is x=(1+3e^2)/(2e^2)