Algebra
Calculus
Trigonometry
Matrix
Question
Expand the expression
ln(w)+2ln(3)+21ln(u)+21ln(v)
Evaluate
ln(w3uv)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
ln(w)+ln(3uv)
Solution
More Steps
Evaluate
ln(3uv)
Rewrite in exponential form
ln((3uv)21)
Use logabn=nlogab to simplify the expression
21ln(3uv)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
21(ln(3)+ln(u)+ln(v))
Use the the distributive property to expand the expression
21ln(3)+21ln(u)+21ln(v)
Calculate
2ln(3)+21ln(u)+21ln(v)
ln(w)+2ln(3)+21ln(u)+21ln(v)
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