What is the answer to log_{3}(x^2)+log_{3}(9)=4 ?

The answer to log_{3}(x^2)+log_{3}(9)=4 is x=3,x=-3

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log_{3}(x^2)+log_{3}(9)=4

lo g_{3} (x^{2}) + lo g_{3} (9) = 4

x = 3, x = - 3

Solution steps

lo g_{3} (x^{2}) + lo g_{3} (9) = 4

Move

lo g_{3} (9)

to the right side

lo g_{3} (x^{2}) = 4 - lo g_{3} (9)

Apply log rules

x^{2} = 9

Solve

x^{2} = 9 : 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_{2 x} (16) = 2

lo g_{6} (x) + lo g_{6} (5 x - 1) = 1

lo g_{10} (3) + lo g_{10} (x - 7) = 1

lo g_{10} (x) = 1.5306

x, Z = x y + ln (x + y)

What is the answer to log_{3}(x^2)+log_{3}(9)=4 ?
The answer to log_{3}(x^2)+log_{3}(9)=4 is x=3,x=-3
Solve for x: log_{3}(x^2)+log_{3}(9)=4
The solution is x=3,x=-3