Respuesta :

HenryLCH
3log2(2x)=3
log(2(2x))^3=log1000
8(8x^3)=1000
x=2.5

Answer:

x=1

Step-by-step explanation:

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

We need to solve for x

First we divide both sides by 3

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

We convert log form into exponential form

If [tex]log_b(x)= a[/tex] then b^a = x

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

2^1 = 2x

2=2x

divide by 2 on both sides

x=1

we need to verify our solution

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

[tex]3log_2(2(1))= 3[/tex]

3=3 --> true, so x=1 is our solution