What is the answer to 5ln(5x+1)+3=-7 ?

The answer to 5ln(5x+1)+3=-7 is x=(1-e^2)/(5e^2)

Solve for x: 5ln(5x+1)+3=-7

The solution is x=(1-e^2)/(5e^2)

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5 ln (5 x + 1) + 3 = - 7

x = \frac{1 - e ^{2}}{5 e ^{2}}

Solution steps

5 ln (5 x + 1) + 3 = - 7

Move

3

to the right side

5 ln (5 x + 1) = - 10

Divide both sides by

5

ln (5 x + 1) = - 2

Apply log rules

5 x + 1 = \frac{1}{e ^{2}}

Solve

5 x + 1 = \frac{1}{e ^{2}} : x = \frac{1 - e ^{2}}{5 e ^{2}}

x = \frac{1 - e ^{2}}{5 e ^{2}}

Verify Solutions:

x = \frac{1 - e ^{2}}{5 e ^{2}}

True

The solution is

x = \frac{1 - e ^{2}}{5 e ^{2}}

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

(x + 1) = lo g_{10} (x - 1) + 3

lo g_{4} (x + 20) = 3

ln (x) - ln (x + 1) = 5

5 = lo g_{3} (x^{2} + 18)

What is the answer to 5ln(5x+1)+3=-7 ?
The answer to 5ln(5x+1)+3=-7 is x=(1-e^2)/(5e^2)
Solve for x: 5ln(5x+1)+3=-7
The solution is x=(1-e^2)/(5e^2)