What is the answer to ln(3x-10)=5 ?

The answer to ln(3x-10)=5 is x=(e^5+10)/3

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ln(3x-10)=5

ln (3 x - 10) = 5

x = \frac{e ^{5} + 10}{3}

Decimal Notation

x = 52.80438 \dots

Solution steps

ln (3 x - 10) = 5

Apply log rules

3 x - 10 = e^{5}

Solve

3 x - 10 = e^{5} : x = \frac{e ^{5} + 10}{3}

x = \frac{e ^{5} + 10}{3}

ln (3 x - 10) = 7

lo g_{3} (5 x - 3) = 3

x, ln (x) = 2 t - 3

lo g_{7} (8 - x) = x - 7

lo g_{\frac{1}{3}} (x) = 4