Question
Simplify the expression
4ln(6)×ln(x)−2ln(3)
Evaluate
2ln(36)×ln(x)−32ln(27)
Multiply the numbers
2ln(36)×ln(x)−32ln(27)
Simplify
More Steps

Evaluate
ln(36)
Write the number in exponential form with the base of 6
ln(62)
Calculate
2ln(6)
2×2ln(6)×ln(x)−32ln(27)
Simplify
More Steps

Evaluate
ln(27)
Write the number in exponential form with the base of 3
ln(33)
Calculate
3ln(3)
2×2ln(6)×ln(x)−32×3ln(3)
Simplify
2×2ln(6)×ln(x)−2ln(3)
Solution
4ln(6)×ln(x)−2ln(3)
Show Solution

Factor the expression
2(2ln(6)×ln(x)−ln(3))
Evaluate
2ln(36)×ln(x)−32ln(27)
Multiply the numbers
2ln(36)×ln(x)−32ln(27)
Simplify
More Steps

Evaluate
ln(36)
Write the number in exponential form with the base of 6
ln(62)
Calculate
2ln(6)
2×2ln(6)×ln(x)−32ln(27)
Simplify
More Steps

Evaluate
ln(27)
Write the number in exponential form with the base of 3
ln(33)
Calculate
3ln(3)
2×2ln(6)×ln(x)−32×3ln(3)
Evaluate
4ln(6)×ln(x)−2ln(3)
Solution
2(2ln(6)×ln(x)−ln(3))
Show Solution
