What is the answer to 3ln(2x+1)=12 ?

The answer to 3ln(2x+1)=12 is x=(e^4-1)/2

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3ln(2x+1)=12

3 ln (2 x + 1) = 12

x = \frac{e ^{4} - 1}{2}

Decimal Notation

x = 26.79907 \dots

Solution steps

3 ln (2 x + 1) = 12

Divide both sides by

3

ln (2 x + 1) = 4

Apply log rules

2 x + 1 = e^{4}

Solve

2 x + 1 = e^{4} : x = \frac{e ^{4} - 1}{2}

x = \frac{e ^{4} - 1}{2}

Verify Solutions:

x = \frac{e ^{4} - 1}{2}

True

The solution is

x = \frac{e ^{4} - 1}{2}

2 = lo g_{x} (625)

lo g_{3} (x + 2) = 1.732

lo g_{10} (\frac{1}{x}) = - 8.45

lo g_{32} (x) = 2

0 = lo g_{10} (2 x + 3)