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

The solution to 2log_{x}(4)+log_{x}(3) is log_{x}(48)

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

simplify

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

lo g_{x} (48)

Solution steps

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

Apply log rule:

b \cdot lo g_{a} (x) = lo g_{a} (x^{b})

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

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

Apply log rule:

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

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

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

4^{2} \cdot 3 = 48

= lo g_{x} (48)

lo g_{a} (\frac{x ^{7}}{y z ^{8}})

\frac{1}{2} lo g_{3} (x) + lo g_{3} (y)

5 ln (cos^{2} (t)) + 5 ln (1 + tan^{2} (t))

\frac{3}{2} ln (3)

- lo g_{10} (2.5 \cdot 1 0^{- 7})

What is 2log_{x}(4)+log_{x}(3) ?
The solution to 2log_{x}(4)+log_{x}(3) is log_{x}(48)