What is the answer to ((1+ln(x)))/x =0 ?

The answer to ((1+ln(x)))/x =0 is x= 1/e

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((1+ln(x)))/x =0

\frac{( 1 + ln ( x ) )}{x} = 0

x = \frac{1}{e}

Decimal Notation

x = 0.36787 \dots

Solution steps

\frac{( 1 + ln ( x ) )}{x} = 0

Multiply both sides by

x

1 + ln (x) = 0

Move

1

to the right side

ln (x) = - 1

Apply log rules

x = \frac{1}{e}

Verify Solutions:

x = \frac{1}{e}

True

The solution is

x = \frac{1}{e}

ln (1 + x) = 34

lo g_{4} (x) = 2 + lo g_{16} (x)

lo g_{5} (x) = \frac{1}{5}

lo g_{4} (x + 10) + lo g_{4} (x - 5) = 2

lo g_{2} (x^{2} - 16) = 0

What is the answer to ((1+ln(x)))/x =0 ?
The answer to ((1+ln(x)))/x =0 is x= 1/e
Solve for x: ((1+ln(x)))/x =0
The solution is x= 1/e