What is the answer to 3ln(8x+8)+11=20 ?

The answer to 3ln(8x+8)+11=20 is x=(e^3-8)/8

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3ln(8x+8)+11=20

3 ln (8 x + 8) + 11 = 20

x = \frac{e ^{3} - 8}{8}

Decimal Notation

x = 1.51069 \dots

Solution steps

3 ln (8 x + 8) + 11 = 20

Move

11

to the right side

3 ln (8 x + 8) = 9

Divide both sides by

3

ln (8 x + 8) = 3

Apply log rules

8 x + 8 = e^{3}

Solve

8 x + 8 = e^{3} : x = \frac{e ^{3} - 8}{8}

x = \frac{e ^{3} - 8}{8}

Verify Solutions:

x = \frac{e ^{3} - 8}{8}

True

The solution is

x = \frac{e ^{3} - 8}{8}

2 lo g_{3} (x) = 4

lo g_{10} (\frac{x}{4}) = - 2

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

8 + 5 ln (x) = 5

x ln (5 x) = 0

What is the answer to 3ln(8x+8)+11=20 ?
The answer to 3ln(8x+8)+11=20 is x=(e^3-8)/8
Solve for x: 3ln(8x+8)+11=20
The solution is x=(e^3-8)/8