What is the answer to ln(2x^2-11)=1.946 ?

The answer to ln(2x^2-11)=1.946 is x=sqrt((e^{1.946)+11)/2},x=-sqrt((e^{1.946)+11)/2}

Solve for x: ln(2x^2-11)=1.946

The solution is x=sqrt((e^{1.946)+11)/2},x=-sqrt((e^{1.946)+11)/2}

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ln (2 x^{2} - 11) = 1.946

x = \frac{e ^{1.946} + 11}{2}, x = - \frac{e ^{1.946} + 11}{2}

Decimal Notation

x = 3.00005 \dots, x = - 3.00005 \dots

Solution steps

ln (2 x^{2} - 11) = 1.946

Apply log rules

2 x^{2} - 11 = e^{1.946}

Solve

2 x^{2} - 11 = e^{1.946} : x = \frac{e ^{1.946} + 11}{2}, x = - \frac{e ^{1.946} + 11}{2}

x = \frac{e ^{1.946} + 11}{2}, x = - \frac{e ^{1.946} + 11}{2}

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

ln (x) = \frac{2}{3} ln (8)

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

ln (x + 3) + ln (x - 3) = 0

ln (x) ln (x) = 5

What is the answer to ln(2x^2-11)=1.946 ?
The answer to ln(2x^2-11)=1.946 is x=sqrt((e^{1.946)+11)/2},x=-sqrt((e^{1.946)+11)/2}
Solve for x: ln(2x^2-11)=1.946
The solution is x=sqrt((e^{1.946)+11)/2},x=-sqrt((e^{1.946)+11)/2}