Algebra
Calculus
Trigonometry
Matrix
Question
Expand the expression
ln(2)+4ln(x)
Evaluate
ln(x4×x2×x2×11×2)
Any expression multiplied by 1 remains the same
ln(x4×x2×x21×2)
Multiply
More Steps
Multiply the terms
x4×x2×x21×2
Multiply the terms with the same base by adding their exponents
x4+2×x21×2
Add the numbers
x6×x21×2
Multiply the terms
More Steps
Multiply the terms
x6×x21
Cancel out the common factor x2
x4×1
Multiply the terms
x4
x4×2
Use the commutative property to reorder the terms
2x4
ln(2x4)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
ln(2)+ln(x4)
Solution
ln(2)+4ln(x)
Show Solution
