What is expand 8log_{8}(7)-2log_{8}(6) ?

The solution to expand 8log_{8}(7)-2log_{8}(6) is log_{8}(5764801/36)

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expand 8log_{8}(7)-2log_{8}(6)

expand

8 lo g_{8} (7) - 2 lo g_{8} (6)

lo g_{8} (\frac{5764801}{36})

Decimal Notation

5.76297 \dots

Solution steps

8 lo g_{8} (7) - 2 lo g_{8} (6)

Apply log rule:

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

8 lo g_{8} (7) = lo g_{8} (7^{8})

= lo g_{8} (7^{8}) - 2 lo g_{8} (6)

Apply log rule:

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

2 lo g_{8} (6) = lo g_{8} (6^{2})

= lo g_{8} (7^{8}) - lo g_{8} (6^{2})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{8} (7^{8}) - lo g_{8} (6^{2}) = lo g_{8} (\frac{7 ^{8}}{6 ^{2}})

= lo g_{8} (\frac{7 ^{8}}{6 ^{2}})

Expand

\frac{7 ^{8}}{6 ^{2}} : \frac{5764801}{36}

= lo g_{8} (\frac{5764801}{36})

lo g_{a} (\frac{7 x y ^{3}}{z ^{4}})

ln (\frac{x ^{2}}{( 2 x - 11 ) ^{2}})

ln (\frac{821.85}{1643}) \cdot 10

3 lo g_{3} (x) - 7 lo g_{3} (y)

1.75 ln ∣ y + 2 ∣ + 0.25 ln ∣ y - 3 ∣ + 2 ln ∣ y ∣

What is expand 8log_{8}(7)-2log_{8}(6) ?
The solution to expand 8log_{8}(7)-2log_{8}(6) is log_{8}(5764801/36)