Use the Laws of Logarithms to evaluate the expression. \log_3(15)-\log_3(

Emily-Jane Bray

Emily-Jane Bray

Answered question

2021-11-07

Use the Laws of Logarithms to evaluate the expression.
log3(15)log3(40)+log3(216)

Answer & Explanation

Laaibah Pitt

Laaibah Pitt

Skilled2021-11-08Added 98 answers

Step 1
using the law of logarithms:
Step 2
log3(15)log3(40)+log3(216)
Applying log rule:  logc(a)logc(b)=logc(ab)
=log3(1540)+log3(216)
=log3(38)+log3(216)
Applying log rule:  logc(a)+logc(b)=logc(ab)
=log3(21638)
=log3(81)
=log3(3)4
Applying log rule:  loga(x)b=bloga(x)
=4log3(3)
Applying log rule:  loga(a)=1
=4log3(3)
=4

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