What is the answer to 16^x=x^8 ?

The answer to 16^x=x^8 is x=-(2\W_{0}((ln(2))/2))/(ln(2)),x=2,x=4

Solve for x: 16^x=x^8

The solution is x=-(2\W_{0}((ln(2))/2))/(ln(2)),x=2,x=4

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1 6^{x} = x^{8}

x = - \frac{2 W _{0} ( \frac{l n ( 2 )}{2} )}{ln ( 2 )}, x = 2, x = 4

Decimal Notation

x = - 0.76666 \dots, x = 2, x = 4

Solution steps

1 6^{x} = x^{8}

Take both sides of the equation to the power of

\frac{1}{8}

(1 6^{x})^{\frac{1}{8}} = (x^{8})^{\frac{1}{8}}

Simplify

(1 6^{x})^{\frac{1}{8}} : 2^{\frac{x}{2}}

Simplify

(x^{8})^{\frac{1}{8}} : ∣ x ∣

Solve

2^{\frac{x}{2}} = ∣ x ∣ : x = - \frac{2 W _{0} ( \frac{l n ( 2 )}{2} )}{ln ( 2 )} or x = 2 or x = 4

x = - \frac{2 W _{0} ( \frac{l n ( 2 )}{2} )}{ln ( 2 )}, x = 2, x = 4

6^{3 x - 1} = 3 6^{x + 4}

9^{x + 1} + 3 = 28 \times 3^{x}

4^{2 x} = 4^{- 2 x - 1}

e^{2 x} + 9 - e^{2 x} - 4 = 1

\frac{e ^{4 x + 7}}{3} + 1 = 12

What is the answer to 16^x=x^8 ?
The answer to 16^x=x^8 is x=-(2\W_{0}((ln(2))/2))/(ln(2)),x=2,x=4
Solve for x: 16^x=x^8
The solution is x=-(2\W_{0}((ln(2))/2))/(ln(2)),x=2,x=4