What is 3log_{2}(x)+log_{2}(5) ?

The solution to 3log_{2}(x)+log_{2}(5) is log_{2}(x^3*5)

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simplify 3log_{2}(x)+log_{2}(5)

simplify

3 lo g_{2} (x) + lo g_{2} (5)

lo g_{2} (x^{3} \cdot 5)

Solution steps

3 lo g_{2} (x) + lo g_{2} (5)

Apply log rule:

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

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

= lo g_{2} (x^{3}) + lo g_{2} (5)

Apply log rule:

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

lo g_{2} (x^{3}) + lo g_{2} (5) = lo g_{2} (5 x^{3})

= lo g_{2} (x^{3} \cdot 5)

lo g_{6} (x - 3) + lo g_{6} (x)

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

ln (c d)

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

lo g_{b} (2) + 2 lo g_{b} (5)

What is 3log_{2}(x)+log_{2}(5) ?
The solution to 3log_{2}(x)+log_{2}(5) is log_{2}(x^3*5)