What is the answer to ln(3x-16)=2 ?

The answer to ln(3x-16)=2 is x=(e^2+16)/3

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ln(3x-16)=2

ln (3 x - 16) = 2

x = \frac{e ^{2} + 16}{3}

Decimal Notation

x = 7.79635 \dots

Solution steps

ln (3 x - 16) = 2

Apply log rules

3 x - 16 = e^{2}

Solve

3 x - 16 = e^{2} : x = \frac{e ^{2} + 16}{3}

x = \frac{e ^{2} + 16}{3}

ln (3 x - 16) = 3

3 ln (2 x) = - 6

lo g_{2} (x + 1) - 3 = 0

x, lo g_{2} (x - 3) = 4

y, x = ln (2 - y) - ln (1 - y)