What is the answer to ln(3x-13)=8 ?

The answer to ln(3x-13)=8 is x=(e^8+13)/3

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ln(3x-13)=8

ln (3 x - 13) = 8

x = \frac{e ^{8} + 13}{3}

Decimal Notation

x = 997.98599 \dots

Solution steps

ln (3 x - 13) = 8

Apply log rules

3 x - 13 = e^{8}

Solve

3 x - 13 = e^{8} : x = \frac{e ^{8} + 13}{3}

x = \frac{e ^{8} + 13}{3}

ln (3 x - 13) = 9

ln (3 x - 13) = 7

ln (3 x - 13) = 4

ln (3 x - 13) = 2

lo g_{10} (x) = 2.952