Question
Calculate the value
2ln(5)−ln(7)
Alternative Form
≈1.272966
Evaluate
ln(e×25)−ln(e×7)
Use the commutative property to reorder the terms
ln(25e)−ln(e×7)
Use the commutative property to reorder the terms
ln(25e)−ln(7e)
Use the logarithm product rule
ln(7e25e)
Divide the terms
ln(725)
Use loga(yx)=loga(x)−loga(y) to transform the expression
ln(25)−ln(7)
Solution
More Steps

Evaluate
ln(25)
Write the number in exponential form with the base of 5
ln(52)
Use logabn=nlogab to simplify the expression
2ln(5)
2ln(5)−ln(7)
Alternative Form
≈1.272966
Show Solution
