What is the answer to 5ln(2x+5)-14=16 ?

The answer to 5ln(2x+5)-14=16 is x=(e^6-5)/2

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5ln(2x+5)-14=16

5 ln (2 x + 5) - 14 = 16

x = \frac{e ^{6} - 5}{2}

Decimal Notation

x = 199.21439 \dots

Solution steps

5 ln (2 x + 5) - 14 = 16

Move

14

to the right side

5 ln (2 x + 5) = 30

Divide both sides by

5

ln (2 x + 5) = 6

Apply log rules

2 x + 5 = e^{6}

Solve

2 x + 5 = e^{6} : x = \frac{e ^{6} - 5}{2}

x = \frac{e ^{6} - 5}{2}

Verify Solutions:

x = \frac{e ^{6} - 5}{2}

True

The solution is

x = \frac{e ^{6} - 5}{2}

lo g_{3} (2 X - 6) = 1

lo g_{3} (x - 4) = 4

5 lo g_{5} (x) = \frac{1}{4}

lo g_{a} (81) = 4

lo g_{2} (x + 7) - lo g_{2} (x + 1) = 4

What is the answer to 5ln(2x+5)-14=16 ?
The answer to 5ln(2x+5)-14=16 is x=(e^6-5)/2
Solve for x: 5ln(2x+5)-14=16
The solution is x=(e^6-5)/2