What is the answer to 4(ln(5x)+1)=0 ?

The answer to 4(ln(5x)+1)=0 is x= 1/(5e)

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4(ln(5x)+1)=0

4 (ln (5 x) + 1) = 0

x = \frac{1}{5 e}

Decimal Notation

x = 0.07357 \dots

Solution steps

4 (ln (5 x) + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

ln (5 x) + 1 = 0

Solve

ln (5 x) + 1 = 0 : x = \frac{1}{5 e}

Verify Solutions:

x = \frac{1}{5 e}

True

The solution is

x = \frac{1}{5 e}

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