What is the answer to 4ln(5x+3)-11=13 ?

The answer to 4ln(5x+3)-11=13 is x=(e^6-3)/5

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4ln(5x+3)-11=13

4 ln (5 x + 3) - 11 = 13

x = \frac{e ^{6} - 3}{5}

Decimal Notation

x = 80.08575 \dots

Solution steps

4 ln (5 x + 3) - 11 = 13

Move

11

to the right side

4 ln (5 x + 3) = 24

Divide both sides by

4

ln (5 x + 3) = 6

Apply log rules

5 x + 3 = e^{6}

Solve

5 x + 3 = e^{6} : x = \frac{e ^{6} - 3}{5}

x = \frac{e ^{6} - 3}{5}

Verify Solutions:

x = \frac{e ^{6} - 3}{5}

True

The solution is

x = \frac{e ^{6} - 3}{5}

lo g_{6} (4 (x - 1)) = 2

2 lo g_{10} (x) = 2

lo g_{10} (3 x) = 2

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

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

What is the answer to 4ln(5x+3)-11=13 ?
The answer to 4ln(5x+3)-11=13 is x=(e^6-3)/5
Solve for x: 4ln(5x+3)-11=13
The solution is x=(e^6-3)/5