What is the answer to ln(3x-17)=5 ?

The answer to ln(3x-17)=5 is x=(e^5+17)/3

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ln(3x-17)=5

ln (3 x - 17) = 5

x = \frac{e ^{5} + 17}{3}

Decimal Notation

x = 55.13771 \dots

Solution steps

ln (3 x - 17) = 5

Apply log rules

3 x - 17 = e^{5}

Solve

3 x - 17 = e^{5} : x = \frac{e ^{5} + 17}{3}

x = \frac{e ^{5} + 17}{3}

ln (x - 6) + 2 ln (x) - ln (x - 30) = 0

lo g_{4} (5 x) = 2

lo g_{10} (x^{2} - 9 x) = 1

lo g_{2} (x) = 1000000

3 + 7 \cdot lo g_{5} (x) = 25