What is log_{4}(8)+2log_{4}(9) ?

The solution to log_{4}(8)+2log_{4}(9) is log_{4}(648)

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simplify log_{4}(8)+2log_{4}(9)

simplify

lo g_{4} (8) + 2 lo g_{4} (9)

lo g_{4} (648)

Decimal Notation

4.66992 \dots

Solution steps

lo g_{4} (8) + 2 lo g_{4} (9)

Apply log rule:

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

2 lo g_{4} (9) = lo g_{4} (9^{2})

= lo g_{4} (8) + lo g_{4} (9^{2})

Apply log rule:

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

lo g_{4} (8) + lo g_{4} (9^{2}) = lo g_{4} (8 \cdot 9^{2})

= lo g_{4} (8 \cdot 9^{2})

8 \cdot 9^{2} = 648

= lo g_{4} (648)

2 lo g_{10} (x) - 3 lo g_{10} (x + 1)

ln (\frac{e ^{2}}{4})

lo g_{3} (\frac{x ^{3} y}{w ^{5} z})

lo g_{14} (\frac{14}{y})

lo g_{2} (5) - lo g_{3} (7) + lo g_{2} (3)

What is log_{4}(8)+2log_{4}(9) ?
The solution to log_{4}(8)+2log_{4}(9) is log_{4}(648)