What is the answer to x^2=16^x ?

The answer to x^2=16^x is x=-1/2

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x^2=16^x

x^{2} = 1 6^{x}

x = - \frac{1}{2}

Decimal

x = - 0.5

Solution steps

x^{2} = 1 6^{x}

Take both sides of the equation to the power of

\frac{1}{2}

(x^{2})^{\frac{1}{2}} = (1 6^{x})^{\frac{1}{2}}

Simplify

(x^{2})^{\frac{1}{2}} : ∣ x ∣

Simplify

(1 6^{x})^{\frac{1}{2}} : 4^{x}

Solve

∣ x ∣ = 4^{x} : x = - \frac{1}{2}

x = - \frac{1}{2}

x^{x^{77}} = 77

0.2 5^{2 x - 1} = 8^{x + 3}

e^{x^{2} - 3} = e^{x - 2}

3^{2 x} = 80

- e^{- x} + 3 e^{3 x} = 0