Slove the equation: 3(2^x+1)-2^x+2+5=0

Asked by swatipuspapatel | 11th Jan, 2021, 06:59: PM

Expert Answer:

begin mathsize 16px style 3 left parenthesis 2 to the power of straight x plus 1 right parenthesis minus 2 to the power of straight x plus 2 end exponent space space plus space 5 equals 0
rightwards double arrow 3 space cross times space 2 to the power of straight x space plus space 3 space minus space 2 to the power of straight x space space cross times space space 2 squared space plus space 5 space equals space 0
rightwards double arrow 3 space cross times space 2 to the power of straight x space plus space 3 space minus space 2 to the power of straight x space space cross times space space 4 space plus space 5 space equals space 0
rightwards double arrow 2 to the power of straight x open parentheses 3 minus 4 close parentheses space plus space 8 space equals space 0
rightwards double arrow negative 2 to the power of straight x space equals space minus 8
rightwards double arrow 2 to the power of straight x space equals space 8
rightwards double arrow 2 to the power of straight x space equals space 2 cubed
rightwards double arrow straight x space equals space 3 end style

Answered by Yasmeen Khan | 13th Jan, 2021, 04:08: PM