Could someone please check my work?(adsbygoogle = window.adsbygoogle || []).push({});

Write as a single logarithm:

[tex]\frac{1}{4}[2(log_2 x + 3 log_2 y) - 3 log_2 z][/tex]

I got [tex]log_2(\frac{x^2y^6}{z^3})^\frac{1}{4}[/tex]

[tex]\frac{3}{5}[\frac{1}{2}(log_2 x + 3 log_2 y) - 2(log_2 x - 4 log_2 y)][/tex]

I got [tex]log_2 (\frac{x^\frac{1}{2}y^{1.5}}{x^2} \cdot y^8)^\frac{3}{5}[/tex]

I'd also appreciate some hints on the following:

[tex]a^2 + b^2 = 2ab[/tex]

prove

[tex]log (\frac{a + b}{2} = \frac{1}{2}(log a + log b)[/tex]

The part I really don't get is where the exponents go...

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# Homework Help: Where do the exponents go?

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