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3 years ago

What would this be sumed up in standard form?

Mathematics

1 answer:

Alisiya [41]3 years ago

4 0

6x^5 - 5x^4 + 6x^3 - x^2 + 12x - 31

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Help ASAP show work please thanksss!!!!

Llana [10]

Answer:

$\displaystyle log_\frac{1}{2}(64)=-6$

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

$log_b(1) = 0$

Logarithm of the base:

$log_b(b) = 1$

Product rule:

$log_b(xy) = log_b(x) + log_b(y)$

Division rule:

$\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)$

Power rule:

$log_b(x^n) = n\cdot log_b(x)$

Change of base:

$\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}$

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

$\displaystyle log_\frac{1}{2}(64)$

Factoring $64=2^6$ .

$\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)$

Since

$\displaystyle 2=(1/2)^{-1}$

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})$

Applying the logarithm of the base:

$\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}$

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2 years ago

The temperature in Lakeside was 21°C. The temperature in Salem was 9°C. How much warmer was the temperature in Lakeside than the

horrorfan [7]

12 degrees celsius i can’t find the symbol but that’s the answer.

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3 years ago

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Select the equation has no solution. A) 2x + 17 - 7x - 6 = 8 - 10x - 19 + 5x B) 7 + 16x + 1 - 4x = 24 + 8x - 9 + 3x C) 9x - 3 +

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These problems really aren't hard just set them equal to each other and see if what they are saying is true. Are they equal? Do they both equal 0?

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A basket of laundry is being separated. Divide 48 pieces of clothing into 2 groups so that the ratio is 1:3

Alla [95]

Ratio is 1:3.....added = 4

1/4(48) = 48/4 = 12
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the 2 groups will be 12 and 36

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3 years ago

HELP PLEASE ANSWER

grigory [225]

The answer would be 12

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