What is the answer to log_{3}(sqrt(x^2+17))=2 ?

The answer to log_{3}(sqrt(x^2+17))=2 is x=8,x=-8

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log_{3}(sqrt(x^2+17))=2

lo g_{3} (x^{2} + 17) = 2

x = 8, x = - 8

Solution steps

lo g_{3} (x^{2} + 17) = 2

Apply log rules

x^{2} + 17 = 9

Solve

x^{2} + 17 = 9 : x = 8, x = - 8

x = 8, x = - 8

lo g_{3} (x) = lo g_{x} (27) + 2

ln (x^{2} - 9) = 0

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

lo g_{2} (x + 1) = 4

ln (\frac{3}{t - 5}) = 1.92

What is the answer to log_{3}(sqrt(x^2+17))=2 ?
The answer to log_{3}(sqrt(x^2+17))=2 is x=8,x=-8
Solve for x: log_{3}(sqrt(x^2+17))=2
The solution is x=8,x=-8