What is log_{a}(+2log_{b}(x)) ?

The solution to log_{a}(+2log_{b}(x)) is log_{a}(2)+log_{a}(log_{b}(x))

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simplify log_{a}(+2log_{b}(x))

simplify

lo g_{a} (+ 2 lo g_{b} (x))

lo g_{a} (2) + lo g_{a} (lo g_{b} (x))

Solution steps

lo g_{a} (2 lo g_{b} (x))

Apply log rule:

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

lo g_{a} (2 lo g_{b} (x)) = lo g_{a} (2) + lo g_{a} (lo g_{b} (x))

= lo g_{a} (2) + lo g_{a} (lo g_{b} (x))

lo g_{10} (y^{7}) - lo g_{10} (y^{2})

- 6 \cdot lo g_{10} (11 \cdot (100 \cdot b - 72) - 8) + 6 \cdot lo g_{10} (11 \cdot b - 8)

\frac{1}{2} ln (13)

ln (x) - ln (x^{2}) + ln (3)

8 lo g_{10} (4 x)

What is log_{a}(+2log_{b}(x)) ?
The solution to log_{a}(+2log_{b}(x)) is log_{a}(2)+log_{a}(log_{b}(x))