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Popular >

simplify log_{5}(35)

Solution

simplify

lo g_{5} (35)

Solution

1 + lo g_{5} (7)

+1

Decimal Notation

2.20906 \dots

Solution steps

lo g_{5} (35)

Factor the number:

35 = 5 \cdot 7

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a) = 1

lo g_{5} (5) = 1

= 1 + lo g_{5} (7)

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simplify 7+(-7)simplify

7 + (- 7)

\frac{60}{7}

Frequently Asked Questions (FAQ)

What is log_{5}(35) ?
The solution to log_{5}(35) is 1+log_{5}(7)