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Popular >

ln(e)-ln(x^2)=0

Solution

ln (e) - ln (x^{2}) = 0

Solution

x = e, x = - e

+1

Decimal

x = 1.64872 \dots, x = - 1.64872 \dots

Solution steps

ln (e) - ln (x^{2}) = 0

Move

ln (e)

to the right side

- ln (x^{2}) = - ln (e)

Divide both sides by

- 1

ln (x^{2}) = ln (e)

Apply log rules

x^{2} = e

Solve

x^{2} = e : x = e, x = - e

x = e, x = - e

Verify Solutions:

x = e

True

, x = - e

True

The solutions are

x = e, x = - e

Graph

Popular Examples

4log_{10}(x-6)=11

4 lo g_{10} (x - 6) = 11

log_{2}((x+4)^2)=4

lo g_{2} ((x + 4)^{2}) = 4

-2log_{4}(3x)+2=-6

- 2 lo g_{4} (3 x) + 2 = - 6

log_{1/2}(2x-4)=-2

lo g_{\frac{1}{2}} (2 x - 4) = - 2

log_{8}(x)= 4/3

lo g_{8} (x) = \frac{4}{3}

Frequently Asked Questions (FAQ)

What is the answer to ln(e)-ln(x^2)=0 ?
The answer to ln(e)-ln(x^2)=0 is x=sqrt(e),x=-sqrt(e)