Use the Laws of Logarithms to combine the expression. \log_{a}{b}+c\log

abondantQ

abondantQ

Answered question

2021-10-23

Use the Laws of Logarithms to combine the expression.
loga{b}+cloga{d}rlog{s}

Answer & Explanation

delilnaT

delilnaT

Skilled2021-10-24Added 94 answers

STEP 1
Following properties of logarithms will be used. The exponent property
xlogay=logayx

The sum property of logarithms loga{x}+loga{y}=loga{xy}
The difference property of logarithms loga{x}loga{y}=loga{xy}
Given expression to be simplified is loga{b}+cloga{d}rloga{s}. Simplify this using properties of logarithms.
STEP 2 Given expression to be simplified is loga{b}+cloga{d}rloga{s}
Simplify this using properties of logarithms.
loga{b}+cloga{d}rloga{s}=(loga{b}+cloga{d})rloga{s}
=(loga{b}+loga{dc})loga{sr}
=loga{bdc}loga{sr}
=loga{bdcsr}

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?