Question

Solve 2^(6x-12)=(32)^(3x+12) for x.

Answer 1

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

Answer 2

Answer:The answer is x/52

Step-by-step explanation: