Question
Expand the expression
2ln(6)+27ln(x)
Evaluate
ln(36x3x)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
ln(36)+ln(x3)+ln(x)
Simplify the expression
More Steps

Evaluate
ln(36)
Write the number in exponential form with the base of 6
ln(62)
Use logabn=nlogab to simplify the expression
2ln(6)
2ln(6)+ln(x3)+ln(x)
Use logabn=nlogab to simplify the expression
2ln(6)+3ln(x)+ln(x)
Simplify the expression
More Steps

Evaluate
ln(x)
Rewrite in exponential form
ln(x21)
Use logabn=nlogab to simplify the expression
21ln(x)
2ln(6)+3ln(x)+21ln(x)
Solution
More Steps

Evaluate
3ln(x)+21ln(x)
Collect like terms by calculating the sum or difference of their coefficients
(3+21)×ln(x)
Add the numbers
More Steps

Evaluate
3+21
Reduce fractions to a common denominator
23×2+21
Write all numerators above the common denominator
23×2+1
Multiply the numbers
26+1
Add the numbers
27
27ln(x)
2ln(6)+27ln(x)
Show Solution
