What is log_{3}(4)+log_{3}(5) ?

The solution to log_{3}(4)+log_{3}(5) is log_{3}(20)

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simplify log_{3}(4)+log_{3}(5)

simplify

lo g_{3} (4) + lo g_{3} (5)

lo g_{3} (20)

Decimal Notation

2.72683 \dots

Solution steps

lo g_{3} (4) + lo g_{3} (5)

Apply log rule:

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

lo g_{3} (4) + lo g_{3} (5) = lo g_{3} (4 \cdot 5)

= lo g_{3} (4 \cdot 5)

Multiply the numbers:

4 \cdot 5 = 20

= lo g_{3} (20)

ln (\frac{( x ^{2} + 1 ) ^{5}}{1 - x})

lo g_{10} (\frac{y ^{5}}{z})

lo g_{8} (k^{2} - 64) - lo g_{8} (k - 8)

lo g_{10} (\frac{m ^{2} + n}{100})

lo g_{2} (\frac{8}{y})

What is log_{3}(4)+log_{3}(5) ?
The solution to log_{3}(4)+log_{3}(5) is log_{3}(20)