Learning Logs: Solving y=.70+.59x

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To solve the equation y = 0.70 + 0.59x using logarithms, the correct approach is to take the logarithm of both sides, resulting in log(y) = log(0.70 + 0.59x). It is clarified that log(ab) = log(a) + log(b) does not apply here, as you cannot separate the terms in log(0.59x) into log(0.59) + log(x). The discussion emphasizes that log(0.70 + 0.59x) cannot be simplified further using logarithmic laws. Ultimately, the equation can be left in its logarithmic form as log(y) = log(0.70 + 0.59x). This highlights the limitations of logarithmic simplification in this context.
Jemal
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I'm trying to teach myself logs for a statistics quiz... I know this is probably easy but i never really learned logs.

Homework Statement


I have to take the logarithm of both side of y=.70 + .59x


Homework Equations


n/a

The Attempt at a Solution



y=.70+.59x

So i get Logy= Log.70 + Log (.59x)
Logy = -.1549 + log.59x

I don't know what to do with the log(.59x) Can i separate the .59 and the x somehow?
 
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Jemal said:
y=.70+.59x

So i get Logy= Log.70 + Log (.59x)

No. You can't do this. We only know that log(ab) = log(a) + log(b). The correct equation is:

Log(y) = Log(.70+.59x)

What is it you're trying to do?
 
gb7nash said:
No. You can't do this. We only know that log(ab) = log(a) + log(b). The correct equation is:

Log(y) = Log(.70+.59x)

What is it you're trying to do?

I just need to take the log of both sides and simplify.

So I get log(y) = log(.70+.59x)

I can't seem to find any laws of logs that let's me simplify log(.70+.59x)

Is that how the equation can be left?
 
Pretty much. There's not much else you can do with that equation.
 
gb7nash said:
Pretty much. There's not much else you can do with that equation.

ok thanks a bunch
 
Jemal said:
I have to take the logarithm of both side of y=.70 + .59x
Why do you think you need to do this? What's the context from which this arises?
 
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