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-2log8(x + 1) = -8

 Apr 15, 2014

Best Answer 

 #1
avatar+129907 
+8

-2log8(x + 1) = -8

It's a little difficult to tell what you're using as the base ....if it's 10, we have this

Let's divide both sides by -2   This gives

log8(x + 1) = 4

Writing in exponential form, we have

10^4 = 8 (x + 1)   Therefore

10,000 = 8(x + 1)   Now, divide both sides by 8  This gives

1250 = x +1      Subtracting 1 from both sides gives us

x = 1249

 

However, if you're using 8 as the base, let's take it from this point

log8(x + 1) = 4

Now, let's write this in exponential form using base 8......we have

8^4 = x +1

4096 = x + 1    And subtracting 1 from each side gives us

x = 4095

I suspect that the second thing might be what you meant, but anyway, you have answers using both bases!!!   

 Apr 15, 2014
 #1
avatar+129907 
+8
Best Answer

-2log8(x + 1) = -8

It's a little difficult to tell what you're using as the base ....if it's 10, we have this

Let's divide both sides by -2   This gives

log8(x + 1) = 4

Writing in exponential form, we have

10^4 = 8 (x + 1)   Therefore

10,000 = 8(x + 1)   Now, divide both sides by 8  This gives

1250 = x +1      Subtracting 1 from both sides gives us

x = 1249

 

However, if you're using 8 as the base, let's take it from this point

log8(x + 1) = 4

Now, let's write this in exponential form using base 8......we have

8^4 = x +1

4096 = x + 1    And subtracting 1 from each side gives us

x = 4095

I suspect that the second thing might be what you meant, but anyway, you have answers using both bases!!!   

CPhill Apr 15, 2014

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