How do you solve the exponential equation #8^(x-1)=2^(x+2)#?
1 Answer
Jun 25, 2017
Explanation:
#"express the left side in "color(blue)"base 2"#
#rArr(2^3)^(x-1)=2^(x+2)#
#rArr2^((3x-3))=2^((x+2))#
#"since the bases are equal we can equate the exponents"#
#rArr3x-3=x+2#
#rArr2x=5#
#rArrx=5/2#
