What is the answer to 5ln(2x+1)-3=6 ?

The answer to 5ln(2x+1)-3=6 is x=(e^{9/5}-1)/2

Solve for x: 5ln(2x+1)-3=6

The solution is x=(e^{9/5}-1)/2

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5 ln (2 x + 1) - 3 = 6

x = \frac{e ^{\frac{9}{5}} - 1}{2}

Decimal Notation

x = 2.52482 \dots

Solution steps

5 ln (2 x + 1) - 3 = 6

Move

3

to the right side

5 ln (2 x + 1) = 9

Divide both sides by

5

ln (2 x + 1) = \frac{9}{5}

Apply log rules

2 x + 1 = e^{\frac{9}{5}}

Solve

2 x + 1 = e^{\frac{9}{5}} : x = \frac{e ^{\frac{9}{5}} - 1}{2}

x = \frac{e ^{\frac{9}{5}} - 1}{2}

Verify Solutions:

x = \frac{e ^{\frac{9}{5}} - 1}{2}

True

The solution is

x = \frac{e ^{\frac{9}{5}} - 1}{2}

x, ln (x - 8) + ln (x + 8) = 0

0.89 = lo g_{10} (x)

ln (x) + 3 = \frac{4}{ln ( x )}

lo g_{7} (9 - x) = 3 lo g_{7} (2)

x, lo g_{10} (x) = - 2

What is the answer to 5ln(2x+1)-3=6 ?
The answer to 5ln(2x+1)-3=6 is x=(e^{9/5}-1)/2
Solve for x: 5ln(2x+1)-3=6
The solution is x=(e^{9/5}-1)/2