How do you solve $4 ln 3 x = 15$ $4ln3x=15$ ?

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Answer 1 · 2015-12-01T19:32:50

Use exponentiation to solve ...

$4 ln (3 x) = 15$ $4ln(3x)=15$

$ln 3 x = \frac{15}{4} = 3.75$ $ln3x=15/4=3.75$

Now, exponentiate both sides ...

$e^{ln 3 x} = e^{3.75}$ $e^(ln3x)=e^3.75$

Simplify and solve for x ...

$3 x = e^{3.75}$ $3x=e^3.75$

$x = \frac{e^{3.75}}{3} \approx 14.1737$ $x=(e^3.75)/3~~14.1737$

hope that helped

How do you solve 4ln3x=154ln3x=15?