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

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

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

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

x = \frac{e ^{4} + 4}{5}

Decimal Notation

x = 11.71963 \dots

Solution steps

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

Move

11

to the right side

4 ln (5 x - 4) = 16

Divide both sides by

4

ln (5 x - 4) = 4

Apply log rules

5 x - 4 = e^{4}

Solve

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

x = \frac{e ^{4} + 4}{5}

Verify Solutions:

x = \frac{e ^{4} + 4}{5}

True

The solution is

x = \frac{e ^{4} + 4}{5}

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

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

lo g_{3} (x - 4) = 1 + lo g_{9} (x)

ln (1 + x) = 1

ln (4 x) = 9

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