What is the answer to log_{5}(sqrt(x^2+49))=2 ?

The answer to log_{5}(sqrt(x^2+49))=2 is x=24,x=-24

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log_{5}(sqrt(x^2+49))=2

lo g_{5} (x^{2} + 49) = 2

x = 24, x = - 24

Solution steps

lo g_{5} (x^{2} + 49) = 2

Apply log rules

x^{2} + 49 = 25

Solve

x^{2} + 49 = 25 : x = 24, x = - 24

x = 24, x = - 24

- lo g_{10} (x) = 8.9

lo g_{5} (n) = 3

60 = 10 lo g_{10} (x)

2 lo g_{3} (x) = 4 + 6 lo g_{x} (3)

lo g_{6} ((x + 7) (x - 2)) = 2

What is the answer to log_{5}(sqrt(x^2+49))=2 ?
The answer to log_{5}(sqrt(x^2+49))=2 is x=24,x=-24
Solve for x: log_{5}(sqrt(x^2+49))=2
The solution is x=24,x=-24