What is log_{a}(75)+log_{a}(2) ?

The solution to log_{a}(75)+log_{a}(2) is log_{a}(150)

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simplify log_{a}(75)+log_{a}(2)

simplify

lo g_{a} (75) + lo g_{a} (2)

lo g_{a} (150)

Solution steps

lo g_{a} (75) + lo g_{a} (2)

Apply log rule:

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

lo g_{a} (75) + lo g_{a} (2) = lo g_{a} (75 \cdot 2)

= lo g_{a} (75 \cdot 2)

Multiply the numbers:

75 \cdot 2 = 150

= lo g_{a} (150)

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

lo g_{10} (5) - lo g_{10} (4)

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

ln (\frac{1}{e ^{2}}) + ln (2 e)

\frac{1}{3} [2 ln (x + 5) - ln (x) - ln (x^{2} - 4)]

What is log_{a}(75)+log_{a}(2) ?
The solution to log_{a}(75)+log_{a}(2) is log_{a}(150)