Respuesta :

Using: loga b = log b / log a
1) a=x, b=0.5 → y1=log0.5 x → y1= log x / log 0.5
2) a=2, b=3 →y2=log3 2 +x → y2=log 2 / log 3 +x

Answer: Fourth option:
y1=log x / log 0.5 , y2= log 2 / log 3 +x

Answer:

Option D.

Step-by-step explanation:

The given equation is [tex]log_{0.5}x=log_{3}2+x[/tex]

As we know [tex]log_{0.5}x=\frac{logx}{log(0.5)}[/tex]

and [tex]log_{2}3=\frac{log3}{log2}[/tex]

Now we replace these values in the given equation

[tex]\frac{logx}{log(0.5)}=\frac{log3}{log2}+x[/tex]

Therefore, option D will be the answer.

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