What is the answer to 4ln(5x+1)+3=15 ?

The answer to 4ln(5x+1)+3=15 is x=(e^3-1)/5

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4ln(5x+1)+3=15

4 ln (5 x + 1) + 3 = 15

x = \frac{e ^{3} - 1}{5}

Decimal Notation

x = 3.81710 \dots

Solution steps

4 ln (5 x + 1) + 3 = 15

Move

3

to the right side

4 ln (5 x + 1) = 12

Divide both sides by

4

ln (5 x + 1) = 3

Apply log rules

5 x + 1 = e^{3}

Solve

5 x + 1 = e^{3} : x = \frac{e ^{3} - 1}{5}

x = \frac{e ^{3} - 1}{5}

Verify Solutions:

x = \frac{e ^{3} - 1}{5}

True

The solution is

x = \frac{e ^{3} - 1}{5}

lo g_{5} (x) = 3 - 2 lo g_{x} (5)

16 ln (x) = \frac{1}{ln ( x )}

lo g_{3} (- 2 x - 10) = 2 + lo g_{3} (6)

1.23 = \frac{0.0257}{4} ln (k)

x, ln (2 x + 1) = 2 - ln (x)

What is the answer to 4ln(5x+1)+3=15 ?
The answer to 4ln(5x+1)+3=15 is x=(e^3-1)/5
Solve for x: 4ln(5x+1)+3=15
The solution is x=(e^3-1)/5