What is the answer to ln(3x-17)=8 ?

The answer to ln(3x-17)=8 is x=(e^8+17)/3

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ln(3x-17)=8

ln (3 x - 17) = 8

x = \frac{e ^{8} + 17}{3}

Solution steps

ln (3 x - 17) = 8

Apply log rules

3 x - 17 = e^{8}

Solve

3 x - 17 = e^{8} : x = \frac{e ^{8} + 17}{3}

x = \frac{e ^{8} + 17}{3}

ln (3 x - 17) = 3

ln (3 x - 17) = 6

ln (3 x - 17) = 7

lo g_{4} (9 x) - lo g_{2} (x - 1) = 2

2 (x + 1) ln (x + 1) + (x + 1) = 0