15,273 views
41 votes
41 votes
When condensing a logarithm using the the product property, you combine the answers by dividing them.

Group of answer choices

True

False


When condensing a logarithm using the the power property, you move the front number to become the exponent on the log.
Group of answer choices

True

False

When condensing a logarithm using the the quotient property, you combine the answers by dividing them.
Group of answer choices

True

False

User Ayanami
by
2.7k points

2 Answers

12 votes
12 votes

#1

  • log_a(bc)=log_a^b+log_a^c

Not divide we multiply

  • False

#2

  • logb^a=alogb

Yes

  • True

#3

Yes it's reverse of first one

  • True
User Juanse
by
2.3k points
12 votes
12 votes

Answer:

False

True

True

Explanation:


\textsf{Product Rule}:\quad \log_n(x)+\log_n(y)=\log_n(xy)

When condensing a logarithm using the product rule, you combine the answers by multiplying them.


\textsf{Power Rule}:\quad a \log_n(x)=\log_n(x)^a

When condensing a logarithm using the power rule, you move the front number to become the exponent on the log.


\textsf{Quotient Rule}:\quad \log_n(x)+\log_n(y)=\log_n\left((x)/(y)\right)

When condensing a logarithm using the the quotient rule, you combine the answers by dividing them.

User JaakkoK
by
3.3k points