What is 7log_{10}(a)+log_{10}(d) ?

The solution to 7log_{10}(a)+log_{10}(d) is log_{10}(a^7d)

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simplify 7log_{10}(a)+log_{10}(d)

simplify

7 lo g_{10} (a) + lo g_{10} (d)

lo g_{10} (a^{7} d)

Solution steps

7 lo g_{10} (a) + lo g_{10} (d)

Apply log rule:

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

7 lo g_{10} (a) = lo g_{10} (a^{7})

= lo g_{10} (a^{7}) + lo g_{10} (d)

Apply log rule:

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

lo g_{10} (a^{7}) + lo g_{10} (d) = lo g_{10} (a^{7} d)

= lo g_{10} (a^{7} d)

lo g_{2} (3 y) + 4 lo g_{2} (x)

- lo g_{10} (4.8 \cdot 1 0^{- 10})

ln ((9 - x^{2} - y^{2}) (x^{2} + y^{2} - 1))

- lo g_{10} (3 \cdot 1 0^{- 2})

\frac{1}{2} ln (\frac{6 + 3 7}{2})

What is 7log_{10}(a)+log_{10}(d) ?
The solution to 7log_{10}(a)+log_{10}(d) is log_{10}(a^7d)