What is the answer to log_{2}(x^2+2)=3 ?

The answer to log_{2}(x^2+2)=3 is x=sqrt(6),x=-sqrt(6)

Solve for x: log_{2}(x^2+2)=3

The solution is x=sqrt(6),x=-sqrt(6)

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

x = 6, x = - 6

Decimal Notation

x = 2.44948 \dots, x = - 2.44948 \dots

Solution steps

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

Apply log rules

x^{2} + 2 = 8

Solve

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

x = 6, x = - 6

lo g_{4} (x - 4) = 1 - lo g_{4} (x - 7)

lo g_{6} (8 x) - 3 lo g_{6} (3) = 2

lo g_{\frac{5}{2}} (x) = - 3

lo g_{x} (10) = 2

50 = 10.751 ln (x) + 62.069

What is the answer to log_{2}(x^2+2)=3 ?
The answer to log_{2}(x^2+2)=3 is x=sqrt(6),x=-sqrt(6)
Solve for x: log_{2}(x^2+2)=3
The solution is x=sqrt(6),x=-sqrt(6)