What is the answer to log_{2}(x^2-1)=log_{2}(8) ?

The answer to log_{2}(x^2-1)=log_{2}(8) is x=3,x=-3

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log_{2}(x^2-1)=log_{2}(8)

lo g_{2} (x^{2} - 1) = lo g_{2} (8)

x = 3, x = - 3

Solution steps

lo g_{2} (x^{2} - 1) = lo g_{2} (8)

Apply log rules

x^{2} - 1 = 8

Solve

x^{2} - 1 = 8 : x = 3, x = - 3

x = 3, x = - 3

Verify Solutions:

x = 3

True

, x = - 3

True

The solutions are

x = 3, x = - 3

lo g_{x} (243) = 2.5

lo g_{6} (2 x) = 3

(ln (x))^{2} + 4 ln (x) + 4 = 0

lo g_{5} (x^{2}) = lo g_{5} (3 x + 4)

3 - ln (x) = \frac{x}{e} + 1

What is the answer to log_{2}(x^2-1)=log_{2}(8) ?
The answer to log_{2}(x^2-1)=log_{2}(8) is x=3,x=-3
Solve for x: log_{2}(x^2-1)=log_{2}(8)
The solution is x=3,x=-3