What is the answer to 2ln(5x+8)-17=-5 ?

The answer to 2ln(5x+8)-17=-5 is x=(e^6-8)/5

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2ln(5x+8)-17=-5

2 ln (5 x + 8) - 17 = - 5

x = \frac{e ^{6} - 8}{5}

Decimal Notation

x = 79.08575 \dots

Solution steps

2 ln (5 x + 8) - 17 = - 5

Move

17

to the right side

2 ln (5 x + 8) = 12

Divide both sides by

2

ln (5 x + 8) = 6

Apply log rules

5 x + 8 = e^{6}

Solve

5 x + 8 = e^{6} : x = \frac{e ^{6} - 8}{5}

x = \frac{e ^{6} - 8}{5}

Verify Solutions:

x = \frac{e ^{6} - 8}{5}

True

The solution is

x = \frac{e ^{6} - 8}{5}

2 ln (x - 3) = ln (x) - ln (4)

6.021 = 20 lo g_{10} (a)

lo g_{5} (x) - lo g_{25} (x + 6) = 0

lo g_{x} (512) = 9

ln (15) = ln (- n) - n ln (1.1)

What is the answer to 2ln(5x+8)-17=-5 ?
The answer to 2ln(5x+8)-17=-5 is x=(e^6-8)/5
Solve for x: 2ln(5x+8)-17=-5
The solution is x=(e^6-8)/5