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**A Beautiful Mind** Okay, so I'm just trying to run through this study guide and at the present time I'm on logarithms before it progresses to complex numbers. I just looked at this math latex site I usually go on to try and express the stuff so people know, but I think you'll be able to figure it out. Also, sorry if there any typos in my English...I've got blisters all over my hands and it's even hard to grip a pencil.

Here are some problems I'd really like explained to me:

It says to express as a single logarithm.

$\displaystyle 1/2logb(x)-logb(y)-logb(z)

$

$\displaystyle 1/3logb(x)-2/3logb(y)$

$\displaystyle 2log(10)+4log10(y)-6log10(z)-8log10(t)$

And then these...

$\displaystyle loga\frac{x^2y}{\sqrt[3]{z}

}$

$\displaystyle log2 \sqrt{ \frac{a^6b^4}{z}

}$

Suppose to express those in terms of logarithms.

I mean, I think I might be able to do the first two out of three...I think it's just rearranging...

01. $\displaystyle 1/2logb(x)-logb(y)-logb(z)

$

$\displaystyle logb(x)^1/2-logb(y)-logb(z)=logb( \sqrt{x}/yz)$

02. $\displaystyle 1/3logb(x)-2/3logb(y)$

$\displaystyle logx^1/3-logx^1/3=logb[\frac{\sqrt[3]{x}{ \sqrt[3]{y}^2]$

Must somehow have an error in this one while trying t

The answer anyway...