Loading [MathJax]/jax/output/CommonHTML/jax.js

Exponential Math Olympiad Problem . Find the value of x

 Math Olympiad Problem xx=327+2x  . Find the Value of  x




Solution
xx=327+2x
We can rewrite the above equation as

xx=327.32x

Now divide both side by 32x we 

xx32x=327.32x32x

(x32)x=327

(x9)x=327

Now multiply 19 power on both sides

(x9)x×19=327×19

(x9)x9=33

if aa=bb then a =b

x9=3

x=27

Answer

Post a Comment

0 Comments