contestada

Which of the following shows the true solution to the logarithmic equation 3log2(2x)=3
A.x=-1
B.x=1
C. x=-1 and x=1
D. x0 x=-1 and x=1

Respuesta :

B. x=1, I just took the test 

Answer:

Option B is correct.

Step-by-step explanation:

Given logarithmic equation,

[tex]3log_2(2x)=3[/tex]

[tex]log_2(2x)=\frac{3}{3}[/tex]

[tex]log_2(2x)=1[/tex]

since base of the log function is 2.

we take power of 2 on both sides.

[tex]2^{log_2(2x)}=2^1[/tex]

2x = 2

x = 1

Therefore, Option B is correct.

Otras preguntas