What is the answer to 5ln(4x-10)+11=5 ?

The answer to 5ln(4x-10)+11=5 is x=(1+10e^{6/5})/(4e^{6/5)}

Solve for x: 5ln(4x-10)+11=5

The solution is x=(1+10e^{6/5})/(4e^{6/5)}

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5 ln (4 x - 10) + 11 = 5

x = \frac{1 + 10 e ^{\frac{6}{5}}}{4 e ^{\frac{6}{5}}}

Decimal Notation

x = 2.57529 \dots

Solution steps

5 ln (4 x - 10) + 11 = 5

Move

11

to the right side

5 ln (4 x - 10) = - 6

Divide both sides by

5

ln (4 x - 10) = - \frac{6}{5}

Apply log rules

4 x - 10 = \frac{1}{e ^{\frac{6}{5}}}

Solve

4 x - 10 = \frac{1}{e ^{\frac{6}{5}}} : x = \frac{1 + 10 e ^{\frac{6}{5}}}{4 e ^{\frac{6}{5}}}

x = \frac{1 + 10 e ^{\frac{6}{5}}}{4 e ^{\frac{6}{5}}}

Verify Solutions:

x = \frac{1 + 10 e ^{\frac{6}{5}}}{4 e ^{\frac{6}{5}}}

True

The solution is

x = \frac{1 + 10 e ^{\frac{6}{5}}}{4 e ^{\frac{6}{5}}}

lo g_{10} (3 x + 4) = 0

1 = 2 + ln (x)

lo g_{10} (3 x - 8) = 2

7900 = - (8.3145) (298) ln (x)

ln (x^{2}) - 3 lo g_{x} (e) = 1

What is the answer to 5ln(4x-10)+11=5 ?
The answer to 5ln(4x-10)+11=5 is x=(1+10e^{6/5})/(4e^{6/5)}
Solve for x: 5ln(4x-10)+11=5
The solution is x=(1+10e^{6/5})/(4e^{6/5)}