What is log_{2}(R)+log_{2}(S)-2log_{2}(T) ?

The solution to log_{2}(R)+log_{2}(S)-2log_{2}(T) is log_{2}((RS)/(T^2))

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simplify log_{2}(R)+log_{2}(S)-2log_{2}(T)

simplify

lo g_{2} (R) + lo g_{2} (S) - 2 lo g_{2} (T)

lo g_{2} (\frac{RS}{T ^{2}})

Solution steps

lo g_{2} (R) + lo g_{2} (S) - 2 lo g_{2} (T)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{2} (R) + lo g_{2} (S) = lo g_{2} (RS)

= lo g_{2} (RS) - 2 lo g_{2} (T)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{2} (T) = lo g_{2} (T^{2})

= lo g_{2} (RS) - lo g_{2} (T^{2})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{2} (RS) - lo g_{2} (T^{2}) = lo g_{2} (\frac{RS}{T ^{2}})

= lo g_{2} (\frac{RS}{T ^{2}})

ln (\frac{1}{2}) \cdot \frac{1}{2}

lo g_{10} (4) + 2 lo g_{10} (x)

lo g_{b} (7 x \cdot 3 y)

ln (2) + ln (6)

lo g_{a} (x) + lo g_{a} (y) - lo g_{a} (m)

What is log_{2}(R)+log_{2}(S)-2log_{2}(T) ?
The solution to log_{2}(R)+log_{2}(S)-2log_{2}(T) is log_{2}((RS)/(T^2))