What is 3log_{10}(x)+log_{10}(2) ?

The solution to 3log_{10}(x)+log_{10}(2) is log_{10}(x^3*2)

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simplify 3log_{10}(x)+log_{10}(2)

simplify

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

lo g_{10} (x^{3} \cdot 2)

Solution steps

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

Apply log rule:

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

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

= lo g_{10} (x^{3}) + lo g_{10} (2)

Apply log rule:

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

lo g_{10} (x^{3}) + lo g_{10} (2) = lo g_{10} (2 x^{3})

= lo g_{10} (x^{3} \cdot 2)

ln (4 x^{2})

- lo g_{10} (x + 6) + lo g_{10} (x - 5)

lo g_{10} (\frac{2 x}{5})

lo g_{10} (x) + lo g_{10} (y) - lo g_{10} (z)

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

What is 3log_{10}(x)+log_{10}(2) ?
The solution to 3log_{10}(x)+log_{10}(2) is log_{10}(x^3*2)