What is expand log_{10}((3a)/4) ?

The solution to expand log_{10}((3a)/4) is log_{10}(3)+log_{10}(a)-2log_{10}(2)

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expand log_{10}((3a)/4)

expand

lo g_{10} (\frac{3 a}{4})

lo g_{10} (3) + lo g_{10} (a) - 2 lo g_{10} (2)

Solution steps

lo g_{10} (\frac{3 a}{4})

Apply log rule:

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

lo g_{10} (\frac{3 a}{4}) = lo g_{10} (3 a) - lo g_{10} (4)

= lo g_{10} (3 a) - lo g_{10} (4)

Apply log rule:

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

lo g_{10} (3 a) = lo g_{10} (3) + lo g_{10} (a)

= lo g_{10} (3) + lo g_{10} (a) - lo g_{10} (4)

lo g_{10} (4) = 2 lo g_{10} (2)

= lo g_{10} (3) + lo g_{10} (a) - 2 lo g_{10} (2)

ln (\frac{( 3 x - 5 )}{7})

ln (a \cdot e^{- \frac{x}{5}})

ln (2 n) + n

ln (\frac{155}{100})

4 ln (4 x) + 2.14

What is expand log_{10}((3a)/4) ?
The solution to expand log_{10}((3a)/4) is log_{10}(3)+log_{10}(a)-2log_{10}(2)