Respuesta :

Answer:

x=5

Step-by-step explanation:

First, let's understand logarithms.

When there is no base given, like in this problem's right side of the equation, the base is automatically 10.

So, let's re-write that.

[tex]\frac{7}{x+2}=log_{10}x+5[/tex]

Now, let's test a few of the numbers out. For brevity, I already know it's 3. Let's show you why.

[tex]\frac{7}{5+2} =log_{10}(5+5)\\\frac{7}{7} = log_{10}(10)\\1 = 1[/tex]