Answer:
X = - 8
Let's solve your equation step-by-step.
26x−12=323x+12
Solve Exponent.
26x−12=323x+12
log(26x−12)=log(323x+12)(Take log of both sides)
(6x−12)*(log(2))=(3x+12)*(log(32))
6x−12=(
log(32)
log(2)
)*(3x+12)
6x−12=5*(3x+12)
6x−12=15x+60(Simplify both sides of the equation)
6x−12−15x=15x+60−15x(Subtract 15x from both sides)
−9x−12=60
−9x−12+12=60+12(Add 12 to both sides)
−9x=72
−9x
−9
=
72
−9
(Divide both sides by -9)
x=−8
