What is 3log_{10}(2)+4log_{10}(x) ?

The solution to 3log_{10}(2)+4log_{10}(x) is log_{10}(8x^4)

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simplify 3log_{10}(2)+4log_{10}(x)

simplify

3 lo g_{10} (2) + 4 lo g_{10} (x)

lo g_{10} (8 x^{4})

Solution steps

3 lo g_{10} (2) + 4 lo g_{10} (x)

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

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

= lo g_{10} (2^{3}) + lo g_{10} (x^{4})

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (2^{3}) + lo g_{10} (x^{4}) = lo g_{10} (2^{3} x^{4})

= lo g_{10} (2^{3} x^{4})

Simplify

2^{3} x^{4} : 8 x^{4}

= lo g_{10} (8 x^{4})

5 lo g_{a} (x) - 7 lo g_{a} (y^{6})

lo g_{4} (\frac{1}{4} x^{2} y)

3 ln (2) + 2 ln (x) - \frac{1}{2} \cdot ln (x + 3)

lo g_{10} (5) - lo g_{10} (3)

lo g_{10} (z) - lo g_{10} (12 x)

What is 3log_{10}(2)+4log_{10}(x) ?
The solution to 3log_{10}(2)+4log_{10}(x) is log_{10}(8x^4)