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Popular >

simplify ln(8)ln(16)ln(32)

Solution

simplify

ln (8) ln (16) ln (32)

Solution

60 ln^{3} (2)

+1

Decimal Notation

19.98147 \dots

Solution steps

ln (8) ln (16) ln (32)

Simplify

ln (8) : 3 ln (2)

= 3 ln (2) ln (16) ln (32)

Simplify

ln (16) : 4 ln (2)

= 3 \cdot 4 ln (2) ln (2) ln (32)

Simplify

ln (32) : 5 ln (2)

= 3 \cdot 4 \cdot 5 ln (2) ln (2) ln (2)

Multiply the numbers:

3 \cdot 4 \cdot 5 = 60

= 60 ln (2) ln (2) ln (2)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

ln (2) ln (2) ln (2) = ln^{1 + 1 + 1} (2)

= 60 ln^{1 + 1 + 1} (2)

Add the numbers:

1 + 1 + 1 = 3

= 60 ln^{3} (2)

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Frequently Asked Questions (FAQ)

What is ln(8)ln(16)ln(32) ?
The solution to ln(8)ln(16)ln(32) is 60ln^3(2)