What is the answer to 2ln(3x-5)-2=2 ?

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

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2ln(3x-5)-2=2

2 ln (3 x - 5) - 2 = 2

x = \frac{e ^{2} + 5}{3}

Decimal Notation

x = 4.12968 \dots

Solution steps

2 ln (3 x - 5) - 2 = 2

Move

2

to the right side

2 ln (3 x - 5) = 4

Divide both sides by

2

ln (3 x - 5) = 2

Apply log rules

3 x - 5 = e^{2}

Solve

3 x - 5 = e^{2} : x = \frac{e ^{2} + 5}{3}

x = \frac{e ^{2} + 5}{3}

Verify Solutions:

x = \frac{e ^{2} + 5}{3}

True

The solution is

x = \frac{e ^{2} + 5}{3}

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

lo g_{5} (x) = - 4

lo g_{8} (2 N - 3) = lo g_{8} (4 - N)

5 lo g_{2} (2 x) = 20

ln (x + 10) + ln (x - 4) = 2 ln (x)

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