What is the answer to ln(3x-13)=4 ?

The answer to ln(3x-13)=4 is x=(e^4+13)/3

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ln(3x-13)=4

ln (3 x - 13) = 4

x = \frac{e ^{4} + 13}{3}

Decimal Notation

x = 22.53271 \dots

Solution steps

ln (3 x - 13) = 4

Apply log rules

3 x - 13 = e^{4}

Solve

3 x - 13 = e^{4} : x = \frac{e ^{4} + 13}{3}

x = \frac{e ^{4} + 13}{3}

ln (3 x - 13) = 2

lo g_{10} (x) = 2.952

15 = 10 lo g_{10} (x)

2 ln (x) = ln (x^{4}) - ln (8)

lo g_{4} (x) = 1.5