Use the properties of logarithms to expand the following expression.

ka1leE

ka1leE

Answered question

2021-09-20

Use the properties of logarithms to expand the following expression.
log(4(x+6)5x3)

Answer & Explanation

Caren

Caren

Skilled2021-09-21Added 96 answers

Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to perform arithmetic operation on them. Multiplication and division can be written in form of addition and subtraction while operating logarithms.
There are various rules involved in performing logarithmic operations, some required for question are as follows
Product rule logamn=logam+logan
Division rule loga(mn)=logamlogan
The given expression is log(4(x+6)5x3), use product and division rule to simplify the expression
log(4(x+6)5x3)=log(4(x+6)5)log(x3)
=[log(4)+log((x+6)5)]log(x3)
=[log(4)+log((x+6)5)]log(x32)
=[log(4)+5log(x+6)]32log(x)
=log4+5log(x+6)32logx
Therefore, value of log(4(x+6)5x3) is equal to log4+5log(x+6)32logx

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?