Question

Resolver 16 elevado x-3 =8 elevado x+2

Answer 1

$16 ^{x-3} = 8 ^{x+2}$

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

$2^{4x-12} = 2^{3x+6}$

4x-12=3x+6

4x-3x = 12+6

x = 18

Answer 2

16^(x-3)=8^(x+2) convertimos a base 2

(2^4)^(x-3)=(2^3)(x+2) aplicamos ley de los exponentes

2^4(x-3)=2^3(x+2) aplicamos esta propiedad, si a^f(x)=a^g(x) entonces f(x)=g(x)

entonces

4(x-3)=3(x+2)
4x-12=3x+6
4x-3x=6+12
x=18