What is the answer to ln(3x-17)=7 ?

The answer to ln(3x-17)=7 is x=(e^7+17)/3

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ln(3x-17)=7

ln (3 x - 17) = 7

x = \frac{e ^{7} + 17}{3}

Solution steps

ln (3 x - 17) = 7

Apply log rules

3 x - 17 = e^{7}

Solve

3 x - 17 = e^{7} : x = \frac{e ^{7} + 17}{3}

x = \frac{e ^{7} + 17}{3}

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

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

3 lo g_{5} (y) - lo g_{y} (5) = 2

lo g_{4} (x + 3) = lo g_{4} (3 x - 7)

1 0^{7 l o g_{10} (x)} = 7 x