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log 4 ( 1.5x1.3x0.5x0.75-1)

 May 19, 2014
 #1
avatar+118724 
0

I'm not quite sure what you mean.

$${\mathtt{1.5}}{\mathtt{\,\times\,}}{\mathtt{1.3}}{\mathtt{\,\times\,}}{\mathtt{0.5}}{\mathtt{\,\times\,}}{\mathtt{0.75}}{\mathtt{\,-\,}}{\mathtt{1}} = {\mathtt{\,-\,}}{\frac{{\mathtt{43}}}{{\mathtt{160}}}} = -{\mathtt{0.268\: \!75}}$$

And you cannot find the log of a negative number - they don't exist.

 May 19, 2014
 #2
avatar+2354 
0

I can interpret this in multiple ways but all have an invalid answer.

I'm going to interpret it as

  $$y = ^4log(1.5*1.3*0.5*0.75-1)$$

which is the log {base4} of (1.5*1.3*0.5*0.75-1) 

(and y is your answer)

 

We can rewrite this to $$4^y = 1.5*1.3*0.5*0.75-1$$

Now since $$1.5*1.3*0.5*0.75-1 \leq 0$$ and $$4^y \geq 0$$ for any y

 

There exist no y for which this equality holds.

Therefore you equation has no answer.

 

Instead of base 4 I can interpret it as base 10 or a natural logarithm but it still won't give me an answer.

 

Perhaps you want to check whether you wrote down the question correctly 

 

Reinout

 May 19, 2014

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