What is the answer to -4ln(5x+2)=11 ?

The answer to -4ln(5x+2)=11 is x=(1-2e^{11/4})/(5e^{11/4)}

Solve for x: -4ln(5x+2)=11

The solution is x=(1-2e^{11/4})/(5e^{11/4)}

Popular >

- 4 ln (5 x + 2) = 11

x = \frac{1 - 2 e ^{\frac{11}{4}}}{5 e ^{\frac{11}{4}}}

Decimal Notation

x = - 0.38721 \dots

Solution steps

- 4 ln (5 x + 2) = 11

Divide both sides by

- 4

ln (5 x + 2) = - \frac{11}{4}

Apply log rules

5 x + 2 = \frac{1}{e ^{\frac{11}{4}}}

Solve

5 x + 2 = \frac{1}{e ^{\frac{11}{4}}} : x = \frac{1 - 2 e ^{\frac{11}{4}}}{5 e ^{\frac{11}{4}}}

x = \frac{1 - 2 e ^{\frac{11}{4}}}{5 e ^{\frac{11}{4}}}

Verify Solutions:

x = \frac{1 - 2 e ^{\frac{11}{4}}}{5 e ^{\frac{11}{4}}}

True

The solution is

x = \frac{1 - 2 e ^{\frac{11}{4}}}{5 e ^{\frac{11}{4}}}

lo g_{5} (x + 15) - lo g_{5} (x - 9) = 2

lo g_{10} (4) + lo g_{10} (w) = 2

lo g_{2} (x + 6) - lo g_{2} (x - 8) = 3

lo g_{7} (2 x + 5) = lo g_{7} (x - 3)

9 lo g_{6} (5 w + 6) + 3 = 30

What is the answer to -4ln(5x+2)=11 ?
The answer to -4ln(5x+2)=11 is x=(1-2e^{11/4})/(5e^{11/4)}
Solve for x: -4ln(5x+2)=11
The solution is x=(1-2e^{11/4})/(5e^{11/4)}