What is the answer to 56x^6ln(x)+15x^6=0 ?

The answer to 56x^6ln(x)+15x^6=0 is x= 1/(e^{15/56)}

Solve for x: 56x^6ln(x)+15x^6=0

The solution is x= 1/(e^{15/56)}

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56 x^{6} ln (x) + 15 x^{6} = 0

x = \frac{1}{e ^{\frac{15}{56}}}

Decimal

x = 0.76501 \dots

Solution steps

56 x^{6} ln (x) + 15 x^{6} = 0

Move

15 x^{6}

to the right side

56 x^{6} ln (x) = - 15 x^{6}

Move

15 x^{6}

to the left side

56 x^{6} ln (x) + 15 x^{6} = 0

Factor

56 x^{6} ln (x) + 15 x^{6} : x^{6} (56 ln (x) + 15)

x^{6} (56 ln (x) + 15) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 56 ln (x) + 15 = 0

Solve

56 ln (x) + 15 = 0 : x = \frac{1}{e ^{\frac{15}{56}}}

Verify Solutions:

x = 0

False

, x = \frac{1}{e ^{\frac{15}{56}}}

True

The solution is

x = \frac{1}{e ^{\frac{15}{56}}}

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

20 ln (0.05 \times x - 1) + 0.83 = 7

lo g_{10} (x) + lo g_{10} (x + 2) = 3

lo g_{5} (2 x) = 3

2 = lo g_{10} (6 M)

What is the answer to 56x^6ln(x)+15x^6=0 ?
The answer to 56x^6ln(x)+15x^6=0 is x= 1/(e^{15/56)}
Solve for x: 56x^6ln(x)+15x^6=0
The solution is x= 1/(e^{15/56)}