What is the answer to 5ln(7x+4)-9=-19 ?

The answer to 5ln(7x+4)-9=-19 is x=(1-4e^2)/(7e^2)

Solve for x: 5ln(7x+4)-9=-19

The solution is x=(1-4e^2)/(7e^2)

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5 ln (7 x + 4) - 9 = - 19

x = \frac{1 - 4 e ^{2}}{7 e ^{2}}

Decimal Notation

x = - 0.55209 \dots

Solution steps

5 ln (7 x + 4) - 9 = - 19

Move

9

to the right side

5 ln (7 x + 4) = - 10

Divide both sides by

5

ln (7 x + 4) = - 2

Apply log rules

7 x + 4 = \frac{1}{e ^{2}}

Solve

7 x + 4 = \frac{1}{e ^{2}} : x = \frac{1 - 4 e ^{2}}{7 e ^{2}}

x = \frac{1 - 4 e ^{2}}{7 e ^{2}}

Verify Solutions:

x = \frac{1 - 4 e ^{2}}{7 e ^{2}}

True

The solution is

x = \frac{1 - 4 e ^{2}}{7 e ^{2}}

lo g_{9} (x - 2) = lo g_{3} (4)

lo g_{2} (x) = lo g_{2} (6 x - 1)

lo g_{x} (32) = \frac{1}{4}

0 = 20 lo g_{10} (x)

lo g_{2} (3 x + 8) = 5

What is the answer to 5ln(7x+4)-9=-19 ?
The answer to 5ln(7x+4)-9=-19 is x=(1-4e^2)/(7e^2)
Solve for x: 5ln(7x+4)-9=-19
The solution is x=(1-4e^2)/(7e^2)