What is the answer to 4ln(5x-8)-14=-2 ?

The answer to 4ln(5x-8)-14=-2 is x=(e^3+8)/5

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4ln(5x-8)-14=-2

4 ln (5 x - 8) - 14 = - 2

x = \frac{e ^{3} + 8}{5}

Decimal

x = 5.61710 \dots

Solution steps

4 ln (5 x - 8) - 14 = - 2

Move

14

to the right side

4 ln (5 x - 8) = 12

Divide both sides by

4

ln (5 x - 8) = 3

Apply log rules

5 x - 8 = e^{3}

Solve

5 x - 8 = e^{3} : x = \frac{e ^{3} + 8}{5}

x = \frac{e ^{3} + 8}{5}

Verify Solutions:

x = \frac{e ^{3} + 8}{5}

True

The solution is

x = \frac{e ^{3} + 8}{5}

5.74 = 4.8 + lo g_{10} (\frac{x}{0.05})

3 \times lo g_{2} (x - 2) = 12

0.41667 = - 0.25 lo g_{e} (1 - c)

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

lo g_{x} (2) = - 2

What is the answer to 4ln(5x-8)-14=-2 ?
The answer to 4ln(5x-8)-14=-2 is x=(e^3+8)/5
Solve for x: 4ln(5x-8)-14=-2
The solution is x=(e^3+8)/5