What is log_{7}(35)+log_{7}(5) ?

The solution to log_{7}(35)+log_{7}(5) is log_{7}(175)

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simplify log_{7}(35)+log_{7}(5)

simplify

lo g_{7} (35) + lo g_{7} (5)

lo g_{7} (175)

Decimal Notation

2.65417 \dots

Solution steps

lo g_{7} (35) + lo g_{7} (5)

Apply log rule:

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

lo g_{7} (35) + lo g_{7} (5) = lo g_{7} (35 \cdot 5)

= lo g_{7} (35 \cdot 5)

Multiply the numbers:

35 \cdot 5 = 175

= lo g_{7} (175)

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

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

2 lo g_{10} (m) + 3 lo g_{10} (n) - 4 lo g_{10} (y)

lo g_{10} (\frac{100}{x \cdot y ^{4}})

3 lo g_{3} (N) + lo g_{3} (M) - 3 lo g_{3} (L)

What is log_{7}(35)+log_{7}(5) ?
The solution to log_{7}(35)+log_{7}(5) is log_{7}(175)