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

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

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

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

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

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

Decimal

x = 0.76501 \dots

Solution steps

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

Switch sides

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_{\frac{1}{5}} (x + 7) = - 3

y, ln (x y) + 5 x = 30

a, ln (a) = ln (b)

x^{2 l o g_{10} (x)} = 100 x^{3}

lo g_{10} (2 x + 4) = 2

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