sheldon16
What is the solution to the equation log4 x – log4 2 = 3 ?



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sheldon16
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help anyone

Eyad
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Use The Property LogXLogY=Log(X/y)

Eyad
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Any Hint ?

sheldon16
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show me an example

hartnn
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try to use this formula:
\[\log_{4}A\log_{4}B=\log_{4}\frac{A}{B} \]

sheldon16
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x/2?

sheldon16
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1/2

sheldon16
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can u start it and i finish

hartnn
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ok,so using that formula,tell me whats
\[\log_{4}x\log_{4}2 =? \]

sheldon16
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log4 x/2?

hartnn
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yup :)
now lets go ahead...

sheldon16
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so now what do u do

hartnn
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if \[\log_{x}y=z \]
then
\[x^{z}=y\]

hartnn
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here u have
\[\log_{4}(x/2)=3 \]
so what do u get from this?

sheldon16
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idk

sheldon16
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do u multpy something or what

sheldon16
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eyad help please

Eyad
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Change it To exponential ....
4^3=x/2
64=x/2 =====> multiply by 2
x=128

Eyad
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Got It ?

sheldon16
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oh ok thnx so much now i understand

Eyad
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COoOL ,Yw ..