What is log_{4}(35/5)+log_{4}(10/9) ?

The solution to log_{4}(35/5)+log_{4}(10/9) is log_{4}(70/9)

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simplify log_{4}(35/5)+log_{4}(10/9)

simplify

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

lo g_{4} (\frac{70}{9})

Decimal Notation

1.47967 \dots

Solution steps

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

Apply log rule:

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

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

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

\frac{35}{5} \cdot \frac{10}{9} = \frac{70}{9}

= lo g_{4} (\frac{70}{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})

lo g_{3} (a^{2} b)

What is log_{4}(35/5)+log_{4}(10/9) ?
The solution to log_{4}(35/5)+log_{4}(10/9) is log_{4}(70/9)