# Algebra 2

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Use the laws of logarithms to condense the following expressions.
log base 3 of 2 + 2 log base 3 of x

• Algebra 2 -

log2 + log(x^2) = log(2x^2)
use whatever base of logs you choose; the laws remain the same.

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## Similar Questions

1. ### Logarithms

CONDENSE INTO THE LOG OF A SINGLE QUANTITY: (1) Base 7 2/3 log( z - 2 ) (2) 2 ln8 + 5 ln( z - 4 ) (3) Base 4 1/2 [ log( x + 1 ) + 2 log( x - 1 ) ] + 6 logx
2. ### math(Please help)

1) use the properties of logarithms to simplify the logarithmic expression. log base 10 (9/300) log - log 300 log 9 = 2 log 3 log 300 = log 3 + log 100 = log 3+2 I just do not know how to put these together now!
3. ### Algebra 2

Condense the expressions 1) 10 log x + 2 log 10 2) 1og base 5 of 8 - log base 5 of 12 Can you please explain to me how do you condense these expressions?
4. ### Pre-Calculus

Laws of Logarithms Without using a calculator use the change of base rule to evaluate 1. a) log(subscript8)32(hint use base 2) =log(subscript2 32)/log(subscript2 8) = 5/3 b) log(subscript36)1296. This one doesnt even give you a hint, …
5. ### math

Use the Laws of logarithms to rewrite the expression log(base 2)(11x(x-9)) in a form with no logarithm of a product, quotient or power. After rewriting we will have: log(base 2)A+log(base 2)x+log(base 2)f(x) What is A and what is f(x)?
6. ### Algebra 2

Use the laws of logarithms to condense the following expressions. log base 5 of 6 - log base 5 of x
7. ### Algebra 2

use the laws of logarithms to expand the following expressions log base 2 of xãy
8. ### Algebra 2

-Explain the difference between log base b (mn) and ( log base b of m)(log base b of n). Are they equivalent?
9. ### Advanced Functions/ Precalculus Log

1. Evaluate 4^(log base4 64) + 10^(log100) 2. Write 1+log(base2)x^3 as a single logarithm 3. Write log(base b)√(x^3 y z^6) 4. Solve log(base 2)x-log(base 2)6=log(base 2)5+2log(base 2)3 5. Solve 3^(2x) = 9(81^x) 6. Solve 3^(2x)=7^(3x-1). …
10. ### Econ math/logarithms

If log with base b (2)=0.39 and log with base b (3)=0.61 evaluate the following. log with base b (8). Simplify your answer. How to start?

More Similar Questions
The text passage contains a mathematical question related to logarithms. It asks to condense the expression `log base 3 of 2 + 2 log base 3 of x` using the laws of logarithms. The answer is provided in the form of a similar expression using base 10 logarithms, but it does not directly answer the original question.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Algebra 2

posted by .

Use the laws of logarithms to condense the following expressions.
log base 3 of 2 + 2 log base 3 of x

• Algebra 2 -

log2 + log(x^2) = log(2x^2)
use whatever base of logs you choose; the laws remain the same.

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### Logarithms

CONDENSE INTO THE LOG OF A SINGLE QUANTITY: (1) Base 7 2/3 log( z - 2 ) (2) 2 ln8 + 5 ln( z - 4 ) (3) Base 4 1/2 [ log( x + 1 ) + 2 log( x - 1 ) ] + 6 logx
2. ### math(Please help)

1) use the properties of logarithms to simplify the logarithmic expression. log base 10 (9/300) log - log 300 log 9 = 2 log 3 log 300 = log 3 + log 100 = log 3+2 I just do not know how to put these together now!
3. ### Algebra 2

Condense the expressions 1) 10 log x + 2 log 10 2) 1og base 5 of 8 - log base 5 of 12 Can you please explain to me how do you condense these expressions?
4. ### Pre-Calculus

Laws of Logarithms Without using a calculator use the change of base rule to evaluate 1. a) log(subscript8)32(hint use base 2) =log(subscript2 32)/log(subscript2 8) = 5/3 b) log(subscript36)1296. This one doesnt even give you a hint, …
5. ### math

Use the Laws of logarithms to rewrite the expression log(base 2)(11x(x-9)) in a form with no logarithm of a product, quotient or power. After rewriting we will have: log(base 2)A+log(base 2)x+log(base 2)f(x) What is A and what is f(x)?
6. ### Algebra 2

Use the laws of logarithms to condense the following expressions. log base 5 of 6 - log base 5 of x
7. ### Algebra 2

use the laws of logarithms to expand the following expressions log base 2 of xãy
8. ### Algebra 2

-Explain the difference between log base b (mn) and ( log base b of m)(log base b of n). Are they equivalent?
9. ### Advanced Functions/ Precalculus Log

1. Evaluate 4^(log base4 64) + 10^(log100) 2. Write 1+log(base2)x^3 as a single logarithm 3. Write log(base b)√(x^3 y z^6) 4. Solve log(base 2)x-log(base 2)6=log(base 2)5+2log(base 2)3 5. Solve 3^(2x) = 9(81^x) 6. Solve 3^(2x)=7^(3x-1). …
10. ### Econ math/logarithms

If log with base b (2)=0.39 and log with base b (3)=0.61 evaluate the following. log with base b (8). Simplify your answer. How to start?

More Similar Questions
user
The text passage contains a mathematical question related to logarithms. It asks to condense the expression `log base 3 of 2 + 2 log base 3 of x` using the laws of logarithms. The answer is provided in the form of a similar expression using base 10 logarithms, but it does not directly answer the original question.

TYPE: SINGLE_QUESTION_WITH_ANSWER