What is the answer to x^2ln(x)-49ln(x)=0 ?

The answer to x^2ln(x)-49ln(x)=0 is x=1,x=7

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x^2ln(x)-49ln(x)=0

x^{2} ln (x) - 49 ln (x) = 0

x = 1, x = 7

Solution steps

x^{2} ln (x) - 49 ln (x) = 0

Factor

x^{2} ln (x) - 49 ln (x) : ln (x) (x^{2} - 49)

ln (x) (x^{2} - 49) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

ln (x) = 0 or x^{2} - 49 = 0

Solve

ln (x) = 0 : x = 1

Solve

x^{2} - 49 = 0 : x = 7, x = - 7

Verify Solutions:

x = 1

True

, x = 7

True

, x = - 7

False

The solutions are

x = 1, x = 7

y, ln (y) = - x^{2}

x, 3 ln (x) - ln (y) = 4

x, - ln (y) = ln (x)

ln (x + 6) - ln (9) = 2

0.39 = lo g_{10} (x)

What is the answer to x^2ln(x)-49ln(x)=0 ?
The answer to x^2ln(x)-49ln(x)=0 is x=1,x=7
Solve for x: x^2ln(x)-49ln(x)=0
The solution is x=1,x=7