What is the answer to 9/(5ln(x^2-3))=4 ?

The answer to 9/(5ln(x^2-3))=4 is x=sqrt(e^{9/20)+3},x=-sqrt(e^{9/20)+3}

Solve for x: 9/(5ln(x^2-3))=4

The solution is x=sqrt(e^{9/20)+3},x=-sqrt(e^{9/20)+3}

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\frac{9}{5 ln ( x ^{2} - 3 )} = 4

x = e^{\frac{9}{20}} + 3, x = - e^{\frac{9}{20}} + 3

Decimal Notation

x = 2.13736 \dots, x = - 2.13736 \dots

Solution steps

\frac{9}{5 ln ( x ^{2} - 3 )} = 4

Rewrite the equation with

ln (x^{2} - 3) = u

\frac{9}{5 u} = 4

Solve

\frac{9}{5 u} = 4 : u = \frac{9}{20}

u = \frac{9}{20}

Substitute back

u = ln (x^{2} - 3),

solve for

x

Solve

ln (x^{2} - 3) = \frac{9}{20} : x = e^{\frac{9}{20}} + 3, x = - e^{\frac{9}{20}} + 3

x = e^{\frac{9}{20}} + 3, x = - e^{\frac{9}{20}} + 3

Verify Solutions:

x = e^{\frac{9}{20}} + 3

True

, x = - e^{\frac{9}{20}} + 3

True

The solutions are

x = e^{\frac{9}{20}} + 3, x = - e^{\frac{9}{20}} + 3

lo g_{7} (x - 5) + lo g_{7} (3 x - 1) = 2

x - 2 x ln (x) = 0

ln (6 x + 2) = 2

lo g_{10} (x) - 2 lo g_{x} (10) = 1

ln (x) - ln (x - 2000) = 14876

What is the answer to 9/(5ln(x^2-3))=4 ?
The answer to 9/(5ln(x^2-3))=4 is x=sqrt(e^{9/20)+3},x=-sqrt(e^{9/20)+3}
Solve for x: 9/(5ln(x^2-3))=4
The solution is x=sqrt(e^{9/20)+3},x=-sqrt(e^{9/20)+3}