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Popular >

log_{x}(e)=-3

Solution

lo g_{x} (e) = - 3

Solution

x = \frac{1}{3 e}

+1

Decimal

x = 0.71653 \dots

Solution steps

lo g_{x} (e) = - 3

Apply log rules

\frac{ln ( e )}{ln ( x )} = - 3

Multiply both sides by

ln (x)

\frac{ln ( e )}{ln ( x )} ln (x) = - 3 ln (x)

Apply log rules

x = \frac{1}{3 e}

Verify Solutions:

x = \frac{1}{3 e}

True

The solution is

x = \frac{1}{3 e}

Graph

Popular Examples

log_{x}(256)=-8

lo g_{x} (256) = - 8

log_{10}(x)-log_{10}(8)=3

lo g_{10} (x) - lo g_{10} (8) = 3

log_{10}(x+12)=log_{10}(x)+log_{10}(12)

lo g_{10} (x + 12) = lo g_{10} (x) + lo g_{10} (12)

lo g_{3} (x) = - 5

0 = ln (x) + 1

Frequently Asked Questions (FAQ)

What is the answer to log_{x}(e)=-3 ?
The answer to log_{x}(e)=-3 is x= 1/(\sqrt[3]{e)}