What is the answer to -(-2ln(2x)+3)/(x^3)=0 ?

The answer to -(-2ln(2x)+3)/(x^3)=0 is x=(e^{3/2})/2

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-(-2ln(2x)+3)/(x^3)=0

- \frac{- 2 ln ( 2 x ) + 3}{x ^{3}} = 0

x = \frac{e ^{\frac{3}{2}}}{2}

Decimal Notation

x = 2.24084 \dots

Solution steps

- \frac{- 2 ln ( 2 x ) + 3}{x ^{3}} = 0

Multiply both sides by

x^{3}

- (- 2 ln (2 x) + 3) = 0

Expand

- (- 2 ln (2 x) + 3) : 2 ln (2 x) - 3

2 ln (2 x) - 3 = 0

Move

3

to the right side

2 ln (2 x) = 3

Divide both sides by

2

ln (2 x) = \frac{3}{2}

Apply log rules

2 x = e^{\frac{3}{2}}

Solve

2 x = e^{\frac{3}{2}} : x = \frac{e ^{\frac{3}{2}}}{2}

x = \frac{e ^{\frac{3}{2}}}{2}

Verify Solutions:

x = \frac{e ^{\frac{3}{2}}}{2}

True

The solution is

x = \frac{e ^{\frac{3}{2}}}{2}

- lo g_{10} (x) = 0.064

lo g_{2} (a) = 13

lo g_{2} (x + 4) = lo g_{2} (x + 7)

lo g_{x} (36) + lo g_{x} (6) = 1

ln (2.5 x^{2}) = 12.83

What is the answer to -(-2ln(2x)+3)/(x^3)=0 ?
The answer to -(-2ln(2x)+3)/(x^3)=0 is x=(e^{3/2})/2
Solve for x: -(-2ln(2x)+3)/(x^3)=0
The solution is x=(e^{3/2})/2