What is log_{4}(8)+2log_{4}(3) ?

The solution to log_{4}(8)+2log_{4}(3) is log_{4}(72)

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simplify log_{4}(8)+2log_{4}(3)

simplify

lo g_{4} (8) + 2 lo g_{4} (3)

lo g_{4} (72)

Decimal Notation

3.08496 \dots

Solution steps

lo g_{4} (8) + 2 lo g_{4} (3)

Apply log rule:

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

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

= lo g_{4} (8) + lo g_{4} (3^{2})

Apply log rule:

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

lo g_{4} (8) + lo g_{4} (3^{2}) = lo g_{4} (8 \cdot 3^{2})

= lo g_{4} (8 \cdot 3^{2})

8 \cdot 3^{2} = 72

= lo g_{4} (72)

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

- lo g_{10} (6.2 \cdot 1 0^{- 10})

lo g_{4} (x^{5}) - lo g_{4} (x^{3})

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

3 lo g_{7} (2 x) - 2 lo g_{7} (3 y)

What is log_{4}(8)+2log_{4}(3) ?
The solution to log_{4}(8)+2log_{4}(3) is log_{4}(72)