What is the answer to 81^{log_{9}(x)}=x^2 ?

The answer to 81^{log_{9}(x)}=x^2 is True for all x

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

8 1^{l o g_{9} (x)} = x^{2}

True for all x

Solution steps

8 1^{l o g_{9} (x)} = x^{2}

Take both sides of the equation to the power of

\frac{1}{2}

(8 1^{l o g_{9} (x)})^{\frac{1}{2}} = (x^{2})^{\frac{1}{2}}

Simplify

(8 1^{l o g_{9} (x)})^{\frac{1}{2}} : (x^{2})^{\frac{1}{2}}

Simplify

(x^{2})^{\frac{1}{2}} : ∣ x ∣

Solve

(x^{2})^{\frac{1}{2}} = ∣ x ∣ :

True for all

x

True for all x

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lo g_{4} (x + 5) = lo g_{4} (7 x - 5)

lo g_{3} (x - 10) = 0

- lo g_{10} (x) = 8.44

ln (- 4 x - x) + ln (3) = ln (2 - x)

What is the answer to 81^{log_{9}(x)}=x^2 ?
The answer to 81^{log_{9}(x)}=x^2 is True for all x
Solve for x: 81^{log_{9}(x)}=x^2
The solution is True for all x