What is the answer to ln(2x)=1.5 ?

The answer to ln(2x)=1.5 is x=(e^{1.5})/2

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ln(2x)=1.5

ln (2 x) = 1.5

x = \frac{e ^{1.5}}{2}

Solution steps

ln (2 x) = 1.5

Apply log rules

2 x = e^{1.5}

Solve

2 x = e^{1.5} : x = \frac{e ^{1.5}}{2}

x = \frac{e ^{1.5}}{2}

y, lo g_{6} (y) = x

ln (1 - 2 y) = 0

0 = - 2 lo g_{9} (3 x) + 1

lo g_{x} (x) - 1 + lo g_{x} (x - 2) = 2

lo g_{x} (4) = lo g_{27} (3)