What is log_{3}(b)+log_{3}(b+8) ?

The solution to log_{3}(b)+log_{3}(b+8) is log_{3}(b(b+8))

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simplify log_{3}(b)+log_{3}(b+8)

simplify

lo g_{3} (b) + lo g_{3} (b + 8)

lo g_{3} (b (b + 8))

Solution steps

lo g_{3} (b) + lo g_{3} (b + 8)

Apply log rule:

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

lo g_{3} (b) + lo g_{3} (b + 8) = lo g_{3} (b (b + 8))

= lo g_{3} (b (b + 8))

lo g_{10} (\frac{x}{100000 y ^{8}})

ln (1000) + ln (\frac{1}{e}) + lo g_{3} (27)

ln (\frac{1}{1 + 3})

lo g_{10} (8 x^{2} yz)

lo g_{10} (\frac{3 x ^{2}}{2})

What is log_{3}(b)+log_{3}(b+8) ?
The solution to log_{3}(b)+log_{3}(b+8) is log_{3}(b(b+8))