What is log_{5}(11)+log_{5}(8) ?

The solution to log_{5}(11)+log_{5}(8) is log_{5}(88)

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simplify log_{5}(11)+log_{5}(8)

simplify

lo g_{5} (11) + lo g_{5} (8)

lo g_{5} (88)

Decimal Notation

2.78192 \dots

Solution steps

lo g_{5} (11) + lo g_{5} (8)

Apply log rule:

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

lo g_{5} (11) + lo g_{5} (8) = lo g_{5} (11 \cdot 8)

= lo g_{5} (11 \cdot 8)

Multiply the numbers:

11 \cdot 8 = 88

= lo g_{5} (88)

lo g_{4} (\frac{35}{5}) + lo g_{4} (\frac{10}{9})

lo g_{5} (\frac{25 b ^{5} y ^{2} - 8}{y ( x + 8 ) ^{2}})

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

- lo g_{10} (1.25 \cdot 1 0^{- 7})

lo g_{3} (x^{8} y^{6})

What is log_{5}(11)+log_{5}(8) ?
The solution to log_{5}(11)+log_{5}(8) is log_{5}(88)