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Popular >

simplify log_{5}(60)

Solution

simplify

lo g_{5} (60)

Solution

1 + lo g_{5} (12)

+1

Decimal Notation

2.54395 \dots

Solution steps

lo g_{5} (60)

Factor the number:

60 = 5 \cdot 12

= lo g_{5} (5 \cdot 12)

Apply log rule:

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

lo g_{5} (5 \cdot 12) = lo g_{5} (5) + lo g_{5} (12)

= lo g_{5} (5) + lo g_{5} (12)

Apply log rule:

lo g_{a} (a) = 1

lo g_{5} (5) = 1

= 1 + lo g_{5} (12)

Popular Examples

simplify 2w+5w-6+4w simplify

2 w + 5 w - 6 + 4 w

simplify 1/(6x)+7/(9x)simplify

\frac{1}{6 x} + \frac{7}{9 x}

\frac{1000}{400}

expand 5x(3x+8)expand

5 x (3 x + 8)

simplify-8^{7/3}simplify

- 8^{\frac{7}{3}}

Frequently Asked Questions (FAQ)

What is log_{5}(60) ?
The solution to log_{5}(60) is 1+log_{5}(12)