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

The answer to ln(x^2)=-2 is x= 1/e ,x=-1/e

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ln(x^2)=-2

ln (x^{2}) = - 2

x = \frac{1}{e}, x = - \frac{1}{e}

Decimal Notation

x = 0.36787 \dots, x = - 0.36787 \dots

Solution steps

ln (x^{2}) = - 2

Apply log rules

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

Solve

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

x = \frac{1}{e}, x = - \frac{1}{e}

- 1 - 5 \cdot ln (x) = 0.5

0.81 = ln (x)

5 + ln (x) = \frac{14}{ln ( x )}

ln (x - 4) + ln (x + 3) = ln (x - 13)

lo g_{2} (t) = 6