What is the answer to 5ln(2x+3)+6=16 ?

The answer to 5ln(2x+3)+6=16 is x=(e^2-3)/2

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5ln(2x+3)+6=16

5 ln (2 x + 3) + 6 = 16

x = \frac{e ^{2} - 3}{2}

Decimal Notation

x = 2.19452 \dots

Solution steps

5 ln (2 x + 3) + 6 = 16

Move

6

to the right side

5 ln (2 x + 3) = 10

Divide both sides by

5

ln (2 x + 3) = 2

Apply log rules

2 x + 3 = e^{2}

Solve

2 x + 3 = e^{2} : x = \frac{e ^{2} - 3}{2}

x = \frac{e ^{2} - 3}{2}

Verify Solutions:

x = \frac{e ^{2} - 3}{2}

True

The solution is

x = \frac{e ^{2} - 3}{2}

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

lo g_{10} (1 + x) = 0.599

4 ln (4 - 3 x) = 12

5 + 6 \cdot lo g_{2} (x) = 14

2 lo g_{3} (x + 4) = 4

What is the answer to 5ln(2x+3)+6=16 ?
The answer to 5ln(2x+3)+6=16 is x=(e^2-3)/2
Solve for x: 5ln(2x+3)+6=16
The solution is x=(e^2-3)/2