![\log_\frac{1}{2}\left(\dfrac{3x^2}{2}\right)=\log_\frac{1}{2}3x^2-\log_\frac{1}{2}2=\log_\frac{1}{2}3+\log_\frac{1}{2}x^2-\log_\frac{1}{2}2\\\\=\log_\frac{1}{2}(3)+2\log_\frac{1}{2}(x)-\log_\frac{1}{2}\left(\dfrac{1}{2}\right)^{-1}\\\\=\log_\frac{1}{2}(3)+2\log_\frac{1}{2}(x)-\left[-\log_\frac{1}{2}\left(\dfrac{1}{2}\right)\right]\\\\=\log_\frac{1}{2}(3)+2\log_\frac{1}{2}(x)+\log_\frac{1}{2}\left(\dfrac{1}{2}\right)\\\\=\boxed{\log_\frac{1}{2}(3)+2\log_\frac{1}{2}(x)+1}](/tpl/images/0037/4384/26448.png)
30 ! expand log(1/2)(3x^2/2) using properties and rules for logarithms.
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Mathematics, 01.07.2019 04:30 elisechavez02
30 ! expand log(1/2)(3x^2/2) using properties and rules for logarithms.
Answers: 1
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