What is log_{8}(9)+log_{8}(11) ?

The solution to log_{8}(9)+log_{8}(11) is log_{8}(99)

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simplify log_{8}(9)+log_{8}(11)

simplify

lo g_{8} (9) + lo g_{8} (11)

lo g_{8} (99)

Decimal Notation

2.20978 \dots

Solution steps

lo g_{8} (9) + lo g_{8} (11)

Apply log rule:

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

lo g_{8} (9) + lo g_{8} (11) = lo g_{8} (9 \cdot 11)

= lo g_{8} (9 \cdot 11)

Multiply the numbers:

9 \cdot 11 = 99

= lo g_{8} (99)

5 lo g_{7} (v) + 10 lo g_{7} (w) - \frac{lo g _{7} ( u )}{5}

lo g_{a} (u^{2} v^{5})

lo g_{10} (\frac{10 x}{7})

3 ln (x) - \frac{1}{7} ln (y)

\frac{1}{2} ln (x) + 8 ln (y) - 5 ln (z)

What is log_{8}(9)+log_{8}(11) ?
The solution to log_{8}(9)+log_{8}(11) is log_{8}(99)