What is the answer to -(-6ln(x)+5)/(x^4)=0 ?

The answer to -(-6ln(x)+5)/(x^4)=0 is x=e^{5/6}

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-(-6ln(x)+5)/(x^4)=0

- \frac{- 6 ln ( x ) + 5}{x ^{4}} = 0

x = e^{\frac{5}{6}}

Decimal

x = 2.30097 \dots

Solution steps

- \frac{- 6 ln ( x ) + 5}{x ^{4}} = 0

Multiply both sides by

x^{4}

- (- 6 ln (x) + 5) = 0

Expand

- (- 6 ln (x) + 5) : 6 ln (x) - 5

6 ln (x) - 5 = 0

Move

5

to the right side

6 ln (x) = 5

Divide both sides by

6

ln (x) = \frac{5}{6}

Apply log rules

x = e^{\frac{5}{6}}

Verify Solutions:

x = e^{\frac{5}{6}}

True

The solution is

x = e^{\frac{5}{6}}

- 4 lo g_{10} (x) = 2 lo g_{10} (16) - 3 lo g_{10} (256)

- 3 = 20 lo g_{10} (x)

y, x = \frac{y}{lo g _{y} ( 10 )}

lo g_{1000} (x) = - \frac{1}{3}

ln (3 x - 4) = 2 x

What is the answer to -(-6ln(x)+5)/(x^4)=0 ?
The answer to -(-6ln(x)+5)/(x^4)=0 is x=e^{5/6}
Solve for x: -(-6ln(x)+5)/(x^4)=0
The solution is x=e^{5/6}