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

The answer to 3ln(5x)=10 is x=(e^{10/3})/5

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3ln(5x)=10

3 ln (5 x) = 10

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

Decimal

x = 5.60632 \dots

Solution steps

3 ln (5 x) = 10

Divide both sides by

3

ln (5 x) = \frac{10}{3}

Apply log rules

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

Solve

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

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

Verify Solutions:

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

True

The solution is

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

lo g_{10} (3 x) = 2

lo g_{10} (x) + lo g_{10} (x - 99) = 2

a, x = ln (\frac{a}{s})

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

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