Question

Need well explained answer

Answer 1

3+2x=(64)1/2+(27)1/3
3+2x=(8)2*1/2 + (3)3*1/3
3+2x=8+3
2x=8
x=4

Answer 2

$Given : 3 + 2^x = (64)^{\frac{1}{2} }+(27)^{\frac{1}{3} }$

It can be written as:

$=> 3 + 2^x = (8^2)^{\frac{1}{2}}+(3^3)^{\frac{1}{3} }$

$=> 3 + 2^x = (8)+(3)$

$= > 3 + 2^x = 11$

$=> 2^x = 11 - 3$

$=> 2^x = 8$

$=> 2^x = 2^3$

$=> \boxed{x = 3}}$

Hope this helps!