What is the answer to 4ln(4-3x)=12 ?

The answer to 4ln(4-3x)=12 is x=-(e^3-4)/3

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4ln(4-3x)=12

4 ln (4 - 3 x) = 12

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

Decimal Notation

x = - 5.36184 \dots

Solution steps

4 ln (4 - 3 x) = 12

Divide both sides by

4

ln (4 - 3 x) = 3

Apply log rules

4 - 3 x = e^{3}

Solve

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

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

Verify Solutions:

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

True

The solution is

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

5 + 6 \cdot lo g_{2} (x) = 14

2 lo g_{3} (x + 4) = 4

6.94 = ln (\frac{x}{100})

ln (x^{2} - 3) = 0

ln (\frac{x}{x - 1}) = 2