Algebra
Calculus
Trigonometry
Matrix
Question
Calculate the value
2(ln(2))3−(ln(2))2×ln(3)
Alternative Form
≈0.138218
Evaluate
ln(34)×(−ln(2))(−ln(2))
Rewrite the expression
ln(34)×(−1)×ln(2)×(−1)×ln(2)
Any expression multiplied by 1 remains the same
ln(34)×ln(2)×ln(2)
Multiply the terms
ln(34)×(ln(2))2
Use the commutative property to reorder the terms
(ln(2))2×ln(34)
Simplify
More Steps
Evaluate
ln(34)
Use loga(yx)=loga(x)−loga(y) to transform the expression
ln(4)−ln(3)
Simplify the expression
More Steps
Evaluate
ln(4)
Write the number in exponential form with the base of 2
ln(22)
Use logabn=nlogab to simplify the expression
2ln(2)
2ln(2)−ln(3)
(ln(2))2(2ln(2)−ln(3))
Solution
2(ln(2))3−(ln(2))2×ln(3)
Alternative Form
≈0.138218
Show Solution
