Which of the following shows a ture solution to yhe logarithmic equation 3log2(2x) =3? a. x=-1b. x=1c. x=-1 and x=1d. x=0, x=-1, andx=1

B

using the law of logarithms

• x = n ⇔ x =

given 3 (2x) = 3 ( divide both sides by 3 )

(2x) = 1, hence

2x = = 2 ( divide both sides by 2 )

x = 1 → B

10*(6/5)=12

12*6=72

Volume of dilated prism = 72^3 feet

means "all measurements are increased by the factor of 6/5

Then the volume is increased by the factor of (6/5)^3  =  216/125

The volume of the dilated prism is (5*10)*(6/5)^3 = (5*10)*(216/125) =

86.4 cupid feet

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