Crazy Equation

[nycmathguy]

Solve for x.

2^x + x = 11

Ha!

 

[MathLover1]

2^x + x = 11

2^x = 11-x...prepare for Lambert form

Rewrite the equation with (-x+11)ln(2)=u and

.......simplify

.......rewrite in Lambert form

.....solve

u=8ln (2)

substitute back u= (-x+11 )ln(2),solve for x

(-x+11 )ln(2)=8ln (2)
-x+11 =8
11-8=x
x=3

 

[nycmathguy]

2^x + x = 11

2^x = 11-x...prepare for Lambert form

Rewrite the equation with (-x+11)ln(2)=u and

.......simplify

.......rewrite in Lambert form

.....solve

u=8ln (2)

substitute back u= (-x+11 )ln(2),solve for x

(-x+11 )ln(2)=8ln (2)
-x+11 =8
11-8=x
x=3

What can I say? Math is your calling. You are a math professional. I am a dreamer.