What is the answer to 0=3(ln(5x)+1) ?

The answer to 0=3(ln(5x)+1) is x= 1/(5e)

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0=3(ln(5x)+1)

0 = 3 (ln (5 x) + 1)

x = \frac{1}{5 e}

Decimal Notation

x = 0.07357 \dots

Solution steps

0 = 3 (ln (5 x) + 1)

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}

lo g_{10} (3 - x) - lo g_{10} (x) = - 2

72 = 10 lo g_{10} (x \cdot 1 0^{12})

lo g_{27} (x) = - \frac{1}{3}

\frac{w}{lo g _{2} ( w + 1 )} = 3

lo g_{10} (n) = 1000