What is the answer to log_{2}(x^{(2)}-6x)-6=-2 ?

The answer to log_{2}(x^{(2)}-6x)-6=-2 is x=8,x=-2

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log_{2}(x^{(2)}-6x)-6=-2

lo g_{2} (x^{(2)} - 6 x) - 6 = - 2

x = 8, x = - 2

Solution steps

lo g_{2} (x^{(2)} - 6 x) - 6 = - 2

Move

6

to the right side

lo g_{2} (x^{2} - 6 x) = 4

Apply log rules

x^{2} - 6 x = 16

Solve

x^{2} - 6 x = 16 : x = 8, x = - 2

x = 8, x = - 2

Verify Solutions:

x = 8

True

, x = - 2

True

The solutions are

x = 8, x = - 2

ln (y - 2) = 0

lo g_{\frac{4}{3}} (x) = - 2

lo g_{10} (x) = 3.6274

2 ln (x + 2) = 0

0.8 = ln (y)

What is the answer to log_{2}(x^{(2)}-6x)-6=-2 ?
The answer to log_{2}(x^{(2)}-6x)-6=-2 is x=8,x=-2
Solve for x: log_{2}(x^{(2)}-6x)-6=-2
The solution is x=8,x=-2