What is log_{a}(8)+log_{a}(5) ?

The solution to log_{a}(8)+log_{a}(5) is log_{a}(40)

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simplify log_{a}(8)+log_{a}(5)

simplify

lo g_{a} (8) + lo g_{a} (5)

lo g_{a} (40)

Solution steps

lo g_{a} (8) + lo g_{a} (5)

Apply log rule:

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

lo g_{a} (8) + lo g_{a} (5) = lo g_{a} (8 \cdot 5)

= lo g_{a} (8 \cdot 5)

Multiply the numbers:

8 \cdot 5 = 40

= lo g_{a} (40)

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

lo g_{3} (7) + lo g_{3} (12) - lo g_{3} (4)

ln (\frac{e ^{9}}{10})

(lo g_{b} (x) - lo g_{b} (y)) + 4 lo g_{b} (v)

lo g_{4} (\frac{16}{x + 5})

What is log_{a}(8)+log_{a}(5) ?
The solution to log_{a}(8)+log_{a}(5) is log_{a}(40)