What is log_{10}(a)+3log_{10}(c) ?

The solution to log_{10}(a)+3log_{10}(c) is log_{10}(ac^3)

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simplify log_{10}(a)+3log_{10}(c)

simplify

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

lo g_{10} (a c^{3})

Solution steps

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

Apply log rule:

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

3 lo g_{10} (c) = lo g_{10} (c^{3})

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

Apply log rule:

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

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

= lo g_{10} (a c^{3})

- lo g_{10} (1.7 \cdot 1 0^{- 9})

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

2 lo g_{b} (4) + lo g_{b} (6)

lo g_{10} (1000 x^{4})

lo g_{10} (\frac{x ^{3}}{y ^{5}})

What is log_{10}(a)+3log_{10}(c) ?
The solution to log_{10}(a)+3log_{10}(c) is log_{10}(ac^3)