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Sergeeva-Olga [200]
3 years ago
8

Condense the following logarithm: 5log_4(a) - 6log_4(b)​

Mathematics
1 answer:
grin007 [14]3 years ago
6 0

Hi there! We are given the expression:

\large \boxed{5 log_{4}(a)  - 6 log_{4}(b) }

To condense or simplify the following logarithm. You have to remember these properties:

Properties - Logarithm

\large{ log_{b}(a)^{n}  = n log_{b}(a) } \\  \large{ log_{b}(a)  -  log_{b}(c)  =  log_{b}( \frac{a}{c} ) }

These two properties are what we need for our problem. Therefore,

\large{ log_{4}(a)^{5}  -  log_{4}(b)^{6} }

We use the log_b(a)^n = nlog_b(a) property to convert in the form above. Next, we use the second property.

\large{ log_{4}( \frac{ {a}^{5} }{ {b}^{6} } ) }

Answer

  • log base 4 of (a^5/b^6) is our simplifed form.

Any questions can be asked through comment as I may reply soon. Thanks for using Brainly! Have a good day and happy learning! :)

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Sergio039 [100]

Answer:

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Step-by-step explanation:

So, 5 walls = 4500 ft2 & since there are 5 people (all doing equal work) then each man paints 900 ft2 in 20 minutes. So, the total time is 20 minutes.

7 0
3 years ago
Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?
nadezda [96]

Given:

(3x+7)^2 is subtracted from 3.

To find:

The result of the given statement in the standard form of the polynomial.

Solution:

We need to find the result when (3x+7)^2 is subtracted from 3.

So, the resulted polynomial can be written as:

P(x)=3-(3x+7)^2

On simplification, we get

P(x)=3-((3x)^2+2(3x)(7)+(7)^2)               [\because (a+b)^2=a^2+2ab+b^2]

P(x)=3-(9x^2+42x+49)

P(x)=3-9x^2-42x-49

P(x)=-9x^2-42x-46

Therefore, the resulted polynomial in standard form is -9x^2-42x-46.

7 0
2 years ago
I need help please ​
77julia77 [94]

Range is y so we set -5x = whatever number you pick from the range values listed, so

-5x = -5  making x=1

-5x = 0 making x=0

-5x = 10 making x=-2

-5x = 15  making x=-3

The domain is {1,0,-2,-3}

8 0
3 years ago
A bird's nest is 12 feet above the ground. A mole's den is 12 inches below the ground. What is the difference in height of these
zysi [14]

Answer:

13ft

Step-by-step explanation:

12in = 1ft the difference in height is 13ft

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2 years ago
A ladybug length measures 2cm express this measurement in meters include a equation with an exponent in your explanation
Allushta [10]
Your face is the answer
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