What is the answer to ln((18)/x)=4 ?

The answer to ln((18)/x)=4 is x=(18)/(e^4)

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ln((18)/x)=4

ln (\frac{18}{x}) = 4

x = \frac{18}{e ^{4}}

Decimal Notation

x = 0.32968 \dots

Solution steps

ln (\frac{18}{x}) = 4

Apply log rules

\frac{18}{x} = e^{4}

Multiply both sides by

x

\frac{18}{x} x = e^{4} x

Simplify

18 = e^{4} x

Solve

18 = e^{4} x : x = \frac{18}{e ^{4}}

x = \frac{18}{e ^{4}}

Verify Solutions:

x = \frac{18}{e ^{4}}

True

The solution is

x = \frac{18}{e ^{4}}

\frac{1}{2} lo g_{10} (x + 4) = 0

lo g_{9} (x) = lo g_{10} (x)

2 x - 1 = e^{l n (x^{2})}

ln (K) = 26.849

ln (2 x) + 8 = 11