What is the answer to log_{4}(x^2-6)=log_{4}(10) ?

The answer to log_{4}(x^2-6)=log_{4}(10) is x=4,x=-4

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log_{4}(x^2-6)=log_{4}(10)

lo g_{4} (x^{2} - 6) = lo g_{4} (10)

x = 4, x = - 4

Solution steps

lo g_{4} (x^{2} - 6) = lo g_{4} (10)

Apply log rules

x^{2} - 6 = 10

Solve

x^{2} - 6 = 10 : x = 4, x = - 4

x = 4, x = - 4

Verify Solutions:

x = 4

True

, x = - 4

True

The solutions are

x = 4, x = - 4

lo g_{x} (25) = 5

ln (2 x) = 1

ln (9 x + e) = 9

e (x) = - lo g_{2} (10 x)

lo g_{5} (2 x + 3) - lo g_{5} (x + 1) = 2

What is the answer to log_{4}(x^2-6)=log_{4}(10) ?
The answer to log_{4}(x^2-6)=log_{4}(10) is x=4,x=-4
Solve for x: log_{4}(x^2-6)=log_{4}(10)
The solution is x=4,x=-4