What is the answer to 3ln(2x)-4=2ln(2x) ?

The answer to 3ln(2x)-4=2ln(2x) is x=(e^4)/2

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3ln(2x)-4=2ln(2x)

3 ln (2 x) - 4 = 2 ln (2 x)

x = \frac{e ^{4}}{2}

Decimal Notation

x = 27.29907 \dots

Solution steps

3 ln (2 x) - 4 = 2 ln (2 x)

Move

4

to the right side

3 ln (2 x) = 2 ln (2 x) + 4

Move

2 ln (2 x)

to the left side

ln (2 x) = 4

Apply log rules

2 x = e^{4}

Solve

2 x = e^{4} : x = \frac{e ^{4}}{2}

x = \frac{e ^{4}}{2}

Verify Solutions:

x = \frac{e ^{4}}{2}

True

The solution is

x = \frac{e ^{4}}{2}

ln (4 x + 2) = 3

lo g_{2} (2 x - 3) = 4

0.76 = lo g_{10} (x)

lo g_{10} (x - 1) = 3

lo g_{2} (x - 8) = 2 - lo g_{2} (x - 5)

What is the answer to 3ln(2x)-4=2ln(2x) ?
The answer to 3ln(2x)-4=2ln(2x) is x=(e^4)/2
Solve for x: 3ln(2x)-4=2ln(2x)
The solution is x=(e^4)/2