Question

solve:(√3)^(x-3) = (4√3)^(x+1)​

Answer 1

Answer:

root 4 to the power tewelve

Answer 2

Answer:

x=−2.584963

Step-by-step explanation :

Let's solve your equation step-by-step.

(√3)x−3=(4√3)x+1

1.732051x−3=6.928203x+1

Solve Exponent.

1.732051x−3=6.928203x+1

log(1.732051x−3)=log(6.928203x+1)(Take log of both sides)

(x−3)*(log(1.732051))=(x+1)*(log(6.928203))

x−3=(

log(6.928203)

log(1.732051)

)*(x+1)

x−3=3.523718*(x+1)

x−3=3.523718x+3.523718(Simplify both sides of the equation)

x−3−3.523718x=3.523718x+3.523718−3.523718x(Subtract 3.523718x from both sides)

−2.523718x−3=3.523718

−2.523718x−3+3=3.523718+3(Add 3 to both sides)

−2.523718x=6.523718

−2.523718x

−2.523718

=

6.523718

−2.523718

(Divide both sides by -2.523718)

x=−2.584963

                           OR

Root 4 to the power of 12