What is the answer to 4ln(2x+3)-15=17 ?

The answer to 4ln(2x+3)-15=17 is x=(e^8-3)/2

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4ln(2x+3)-15=17

4 ln (2 x + 3) - 15 = 17

x = \frac{e ^{8} - 3}{2}

Decimal

x = 1488.97899 \dots

Solution steps

4 ln (2 x + 3) - 15 = 17

Move

15

to the right side

4 ln (2 x + 3) = 32

Divide both sides by

4

ln (2 x + 3) = 8

Apply log rules

2 x + 3 = e^{8}

Solve

2 x + 3 = e^{8} : x = \frac{e ^{8} - 3}{2}

x = \frac{e ^{8} - 3}{2}

Verify Solutions:

x = \frac{e ^{8} - 3}{2}

True

The solution is

x = \frac{e ^{8} - 3}{2}

3 (2 x ln (x^{2}) + 2 x) = 0

ln (x) = 3 - x

lo g_{7} (2 x^{2} - 5 x) = 1

lo g_{12} (x^{2} - 8 x + 16) = 0

lo g_{10} (x) 16 = 2

What is the answer to 4ln(2x+3)-15=17 ?
The answer to 4ln(2x+3)-15=17 is x=(e^8-3)/2
Solve for x: 4ln(2x+3)-15=17
The solution is x=(e^8-3)/2