What is log_{8}(3)+4log_{8}(r) ?

The solution to log_{8}(3)+4log_{8}(r) is log_{8}(3r^4)

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simplify log_{8}(3)+4log_{8}(r)

simplify

lo g_{8} (3) + 4 lo g_{8} (r)

lo g_{8} (3 r^{4})

Solution steps

lo g_{8} (3) + 4 lo g_{8} (r)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

4 lo g_{8} (r) = lo g_{8} (r^{4})

= lo g_{8} (3) + lo g_{8} (r^{4})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{8} (3) + lo g_{8} (r^{4}) = lo g_{8} (3 r^{4})

= lo g_{8} (3 r^{4})

lo g_{3} (\frac{5 x ^{4}}{y ^{3}})

ln (i) - ln (i - n)

\frac{9}{10} ln (10000) + \frac{1}{10} ln (5000)

ln (\frac{x}{2}) + 2

lo g_{10} (\frac{1}{5 \cdot 1 0 ^{- 3}})

What is log_{8}(3)+4log_{8}(r) ?
The solution to log_{8}(3)+4log_{8}(r) is log_{8}(3r^4)