What is log_{10}(b)+2log_{10}(c) ?

The solution to log_{10}(b)+2log_{10}(c) is log_{10}(bc^2)

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simplify log_{10}(b)+2log_{10}(c)

simplify

lo g_{10} (b) + 2 lo g_{10} (c)

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

Solution steps

lo g_{10} (b) + 2 lo g_{10} (c)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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

lo g_{10} (\frac{x}{100000})

ln (b) - ln (a)

lo g_{6} (x) - lo g_{6} (x^{5})

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

What is log_{10}(b)+2log_{10}(c) ?
The solution to log_{10}(b)+2log_{10}(c) is log_{10}(bc^2)