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4 years ago

Write logarithmic expression as a single logarithm. (1/3) log 8 + log 6 - log 4

Mathematics

1 answer:

marusya05 [52]4 years ago

7 0

Answer:

log3

Step-by-step explanation:

$\frac{1}{3} log8 + log6 - log4 \\ = log {8}^{ \frac{1}{3} } + log( \frac{6}{4} ) \\ = log2 + log( \frac{3}{2} ) \\ = log(2 \times \frac{3}{2} ) \\ = log3$

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Write the result of (4+9i)(7-4i) in a+bi form

Serhud [2]

ANSWER

$(4 + 9i)(7 - 4i) = 64 + 47i$

EXPLANATION

The given complex number expression is:

$(4 + 9i)(7 - 4i)$

We expand using the distributive property to get;

$(4 + 9i)(7 - 4i) = 4(7 - 4i) + 9i(7 - 4i)$

$(4 + 9i)(7 - 4i) = 28- 16i + 63i - 36 {i}^{2}$

Recall that,

${i}^{2} = - 1$

Our expression now simplifies to:

$(4 + 9i)(7 - 4i) = 28 + 47i + 36$

$(4 + 9i)(7 - 4i) = 64 + 47i$

4 0

4 years ago

Read 2 more answers

Cual es el resultado?

Korolek [52]

I hope this helps you

x^2/3 [x^2/3.x^-1/4)^6.1/3.2

x^2/3[x^8-3/12]^4

x^2/3 [x^5/12]^4

x^2/3.x^5/12.4

x^2/3.x^5/3

x^2+5/3

x^7/3

5 0

3 years ago

-2 and 1/2 divided by 6 please help

Stolb23 [73]

Divide by 6 is the same as times 1/6

-2 and 1/2=-10/2-1/2=-11/2

-11/2 times 1/6=-11/12

8 0

3 years ago

Answer choices a b c d

Margaret [11]

Answer:

Either A or D

Step-by-step explanation:

I got It right Hope it helps this you guys

8 0

3 years ago

Is -7.8 an irrational number

topjm [15]

Answer:

No.

Step-by-step explanation:

An irrational number has never-ending decimals.

A rational number can be written as a fraction or has a terminating decimal.

-7.8 can be rewritten into a fraction. Its decimal also terminates. Therefore, it is not irrational but rational.

6 0

4 years ago

Read 2 more answers