What is the answer to ln(3x-14)=4 ?

The answer to ln(3x-14)=4 is x=(e^4+14)/3

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ln(3x-14)=4

ln (3 x - 14) = 4

x = \frac{e ^{4} + 14}{3}

Decimal Notation

x = 22.86605 \dots

Solution steps

ln (3 x - 14) = 4

Apply log rules

3 x - 14 = e^{4}

Solve

3 x - 14 = e^{4} : x = \frac{e ^{4} + 14}{3}

x = \frac{e ^{4} + 14}{3}

ln (3 x - 14) = 3

3 lo g_{10} (x) = 6

4 lo g_{10} (x) = 4

lo g_{\frac{1}{2}} (x - 2) = - 1

lo g_{5} (x + 23) + lo g_{5} (x + 3) = 3