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which of the following shows a ture solution to yhe logarithmic equation 3log2(2x) =3?
A. x=-1
B. x=1
C. x=-1 and x=1
D. x=0, x=-1, andx=1

Respuesta :

B

using the law of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

given 3 [tex]log_{2}[/tex](2x) = 3 ( divide both sides by 3 )

[tex]log_{2}[/tex](2x) = 1, hence

2x = [tex]2^{1}[/tex] = 2 ( divide both sides by 2 )

x = 1 → B


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