What is the answer to ln(x/4)+1=0 ?

The answer to ln(x/4)+1=0 is x= 4/e

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ln(x/4)+1=0

ln (\frac{x}{4}) + 1 = 0

x = \frac{4}{e}

Decimal

x = 1.47151 \dots

Solution steps

ln (\frac{x}{4}) + 1 = 0

Move

1

to the right side

ln (\frac{x}{4}) = - 1

Apply log rules

\frac{x}{4} = e^{- 1}

Multiply both sides by

4

\frac{x}{4} \cdot 4 = e^{- 1} \cdot 4

Simplify

e^{- 1} \cdot 4 : \frac{4}{e}

x = \frac{4}{e}

Verify Solutions:

x = \frac{4}{e}

True

The solution is

x = \frac{4}{e}

lo g_{5} (x^{2}) = 0

3 ln (x) + 1 = 0

ln (k) - ln (14) = 2

ln (3 x + 5) = - 1

lo g_{19} (x + 7) = 7