What is expand log_{10}(a/(b^2)) ?

The solution to expand log_{10}(a/(b^2)) is log_{10}(a)-2log_{10}(b)

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expand log_{10}(a/(b^2))

expand

lo g_{10} (\frac{a}{b ^{2}})

lo g_{10} (a) - 2 lo g_{10} (b)

Solution steps

lo g_{10} (\frac{a}{b ^{2}})

Apply log rule:

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

lo g_{10} (\frac{a}{b ^{2}}) = lo g_{10} (a) - lo g_{10} (b^{2})

= lo g_{10} (a) - lo g_{10} (b^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (b^{2}) = 2 lo g_{10} (b)

= lo g_{10} (a) - 2 lo g_{10} (b)

lo g_{10} (\frac{( x ^{x} )}{5})

lo g_{2} (\frac{x}{y})

ln (\frac{x ^{6}}{x ^{2} - 25})

ln (e^{- θ n} (θ))

- lo g_{10} (1.45 \cdot 1 0^{- 11})

What is expand log_{10}(a/(b^2)) ?
The solution to expand log_{10}(a/(b^2)) is log_{10}(a)-2log_{10}(b)