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

The answer to x^{2log_{3}(x)}=9 is x=3,x= 1/3

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

x^{2 l o g_{3} (x)} = 9

x = 3, x = \frac{1}{3}

Decimal Notation

x = 3, x = 0.33333 \dots

Solution steps

x^{2 l o g_{3} (x)} = 9

Apply exponent rules

2 lo g_{3} (x) ln (x) = ln (9)

Solve

2 lo g_{3} (x) ln (x) = ln (9) : x = 3, x = \frac{1}{3}

x = 3, x = \frac{1}{3}

Verify Solutions:

x = 3

True

, x = \frac{1}{3}

True

The solutions are

x = 3, x = \frac{1}{3}

1 - 2^{x} = 0

(6^{x}) (6^{7}) = 6^{10}

4^{- x} = 16

7^{x - 5} = 8

48 \cdot 2^{\frac{x}{3}} = 48

What is the answer to x^{2log_{3}(x)}=9 ?
The answer to x^{2log_{3}(x)}=9 is x=3,x= 1/3
Solve for x: x^{2log_{3}(x)}=9
The solution is x=3,x= 1/3