What is the answer to 15=19ln(3x+3) ?

The answer to 15=19ln(3x+3) is x=(e^{15/19}-3)/3

Solve for x: 15=19ln(3x+3)

The solution is x=(e^{15/19}-3)/3

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15 = 19 ln (3 x + 3)

x = \frac{e ^{\frac{15}{19}} - 3}{3}

Decimal

x = - 0.26592 \dots

Solution steps

15 = 19 ln (3 x + 3)

Switch sides

19 ln (3 x + 3) = 15

Divide both sides by

19

ln (3 x + 3) = \frac{15}{19}

Apply log rules

3 x + 3 = e^{\frac{15}{19}}

Solve

3 x + 3 = e^{\frac{15}{19}} : x = \frac{e ^{\frac{15}{19}} - 3}{3}

x = \frac{e ^{\frac{15}{19}} - 3}{3}

Verify Solutions:

x = \frac{e ^{\frac{15}{19}} - 3}{3}

True

The solution is

x = \frac{e ^{\frac{15}{19}} - 3}{3}

lo g_{x + 5} (2 x^{2} - 7 x + 7) = 2

lo g_{x} (\frac{4}{9}) = - 2

lo g_{10} (x) - lo g_{10} (x + 2) = 1

lo g_{10} (x + 6) = lo g_{10} (x) + lo g_{10} (6)

5 x + 3 ln (x - 4) = 25

What is the answer to 15=19ln(3x+3) ?
The answer to 15=19ln(3x+3) is x=(e^{15/19}-3)/3
Solve for x: 15=19ln(3x+3)
The solution is x=(e^{15/19}-3)/3