What is the answer to 5ln(3x-4)=30 ?

The answer to 5ln(3x-4)=30 is x=(e^6+4)/3

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5ln(3x-4)=30

5 ln (3 x - 4) = 30

x = \frac{e ^{6} + 4}{3}

Decimal Notation

x = 135.80959 \dots

Solution steps

5 ln (3 x - 4) = 30

Divide both sides by

5

ln (3 x - 4) = 6

Apply log rules

3 x - 4 = e^{6}

Solve

3 x - 4 = e^{6} : x = \frac{e ^{6} + 4}{3}

x = \frac{e ^{6} + 4}{3}

Verify Solutions:

x = \frac{e ^{6} + 4}{3}

True

The solution is

x = \frac{e ^{6} + 4}{3}

3^{l o g_{3} (3 x + 4)} = 3 x

15 = 10 \cdot lo g_{10} (x)

ln (3 x - 18) = 4

x, z = ln (x^{2} + y)

lo g_{2} (25 - x) = 3