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Popular >

simplify ln(10)+2ln(5)

Solution

simplify

ln (10) + 2 ln (5)

Solution

ln (250)

+1

Decimal Notation

5.52146 \dots

Solution steps

ln (10) + 2 ln (5)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (5) = ln (5^{2})

= ln (10) + ln (5^{2})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (10) + ln (5^{2}) = ln (5^{2} \cdot 10)

= ln (5^{2} \cdot 10)

10 \cdot 5^{2} = 250

= ln (250)

Popular Examples

factor x^3-3x^2-10x-x^2+3x+10 factor

x^{3} - 3 x^{2} - 10 x - x^{2} + 3 x + 10

factor a^3-4a^2-9a+36 factor

a^{3} - 4 a^{2} - 9 a + 36

factor 3y^2+8y-3 factor

3 y^{2} + 8 y - 3

8 c - 50 = - 2 c - 10

5 ∣ x + 9 ∣ - 2 = 0

Frequently Asked Questions (FAQ)

What is ln(10)+2ln(5) ?
The solution to ln(10)+2ln(5) is ln(250)