What is the answer to 2ln(4x+1)+14=20 ?

The answer to 2ln(4x+1)+14=20 is x=(e^3-1)/4

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2ln(4x+1)+14=20

2 ln (4 x + 1) + 14 = 20

x = \frac{e ^{3} - 1}{4}

Decimal Notation

x = 4.77138 \dots

Solution steps

2 ln (4 x + 1) + 14 = 20

Move

14

to the right side

2 ln (4 x + 1) = 6

Divide both sides by

2

ln (4 x + 1) = 3

Apply log rules

4 x + 1 = e^{3}

Solve

4 x + 1 = e^{3} : x = \frac{e ^{3} - 1}{4}

x = \frac{e ^{3} - 1}{4}

Verify Solutions:

x = \frac{e ^{3} - 1}{4}

True

The solution is

x = \frac{e ^{3} - 1}{4}

7.5 = - lo g_{10} (h)

x, lo g_{10} (x) = - 0.123

- lo g_{10} (x) = 12

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

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

What is the answer to 2ln(4x+1)+14=20 ?
The answer to 2ln(4x+1)+14=20 is x=(e^3-1)/4
Solve for x: 2ln(4x+1)+14=20
The solution is x=(e^3-1)/4