What is the answer to 4ln(3x)=15 ?

The answer to 4ln(3x)=15 is x=(e^{15/4})/3

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4ln(3x)=15

4 ln (3 x) = 15

x = \frac{e ^{\frac{15}{4}}}{3}

Decimal Notation

x = 14.17369 \dots

Solution steps

4 ln (3 x) = 15

Divide both sides by

4

ln (3 x) = \frac{15}{4}

Apply log rules

3 x = e^{\frac{15}{4}}

Solve

3 x = e^{\frac{15}{4}} : x = \frac{e ^{\frac{15}{4}}}{3}

x = \frac{e ^{\frac{15}{4}}}{3}

Verify Solutions:

x = \frac{e ^{\frac{15}{4}}}{3}

True

The solution is

x = \frac{e ^{\frac{15}{4}}}{3}

lo g_{y} (y - 2) + lo g_{y} (y + 5) = 2

lo g_{x} (\frac{1}{16}) = - 4

30 = 10 lo g_{10} (x)

2 lo g_{3} (n) + 3 lo g_{27} (n) = 15

lo g_{3} (y) = 5