What is the answer to 2+3ln(4x-3)=20 ?

The answer to 2+3ln(4x-3)=20 is x=(e^6+3)/4

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2+3ln(4x-3)=20

2 + 3 ln (4 x - 3) = 20

x = \frac{e ^{6} + 3}{4}

Decimal Notation

x = 101.60719 \dots

Solution steps

2 + 3 ln (4 x - 3) = 20

Move

2

to the right side

3 ln (4 x - 3) = 18

Divide both sides by

3

ln (4 x - 3) = 6

Apply log rules

4 x - 3 = e^{6}

Solve

4 x - 3 = e^{6} : x = \frac{e ^{6} + 3}{4}

x = \frac{e ^{6} + 3}{4}

Verify Solutions:

x = \frac{e ^{6} + 3}{4}

True

The solution is

x = \frac{e ^{6} + 3}{4}

lo g_{5} (x + 4) = 2

4 - ln (x + 1) = ln (x + 1)

ln (x) \cdot x = 0

8 = lo g_{2} (x)

x lo g_{10} (x + 2) = 0

What is the answer to 2+3ln(4x-3)=20 ?
The answer to 2+3ln(4x-3)=20 is x=(e^6+3)/4
Solve for x: 2+3ln(4x-3)=20
The solution is x=(e^6+3)/4