What is the answer to a^2=2^a ?

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

a^2=2^a

a^{2} = 2^{a}

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

Decimal Notation

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

Solution steps

a^{2} = 2^{a}

Take both sides of the equation to the power of

\frac{1}{2}

(a^{2})^{\frac{1}{2}} = (2^{a})^{\frac{1}{2}}

Simplify

(a^{2})^{\frac{1}{2}} : ∣ a ∣

Simplify

(2^{a})^{\frac{1}{2}} : 2^{\frac{a}{2}}

Solve

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

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

3^{x + 1} + 3^{x} = 108

e^{x - 2} = 12

2^{x} = \frac{2 ^{6}}{4 ^{3}}

4 (4^{2 x}) + 3 (4^{x}) - 1 = 0

1 0^{x} = 76.2

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