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Nostrana [21]
3 years ago
14

1) How can the properties of exponents help solve logarithmic equations?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0
The properties of exponents help solve logarithmic and exponential equations by:
a. Multiplication inside the log can be turned into addition outside the log, and vice versa.
b. Division inside the log can be turned into subtraction outside the log, and vice versa.
c. An exponent on everything inside a log can be moved out front as a multiplier, and vice versa.
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Frank has a student loan of $55,780.
LenaWriter [7]

Answer: $6197.77 would be the right answer

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7 0
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6 Jenna bought n notebooks which cost 5 dollars each, and 3 pens which cost r dollars each. How much money did she spend?
lana66690 [7]
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3 years ago
Rectangle $ABCD$ is the base of pyramid $PABCD$. If $AB = 8$, $BC = 4$, $\overline{PA}\perp \overline{AD}$, $\overline{PA}\perp
11Alexandr11 [23.1K]

Answer:

<h2>181.33</h2>

Step-by-step explanation:

Since the base of the pyramid PABCD is a rectangle, the shape in question is a rectangular based pyramid. Volume of a rectangular based pyramid is expressed as V = 1/3 * Base Area * Height of the pyramid.

Given a rectangle ABCD with AB = 8 and BC = 4, the area of the rectangle will be equivalent to the base area of the pyramid.

Base Area = Length * Breadth

Base Area = AB * BC

Base Area = 8*4 = 32

If \overline{PA}\perp \overline{AD}\ and \ \overline{PA}\perp \overline{AB}, and PB = 17, then the height of the pyramid is PB = 17.

Volume of the pyramid = 1/3 * 32 * 17

Volume of the pyramid = 1/3 * 544

Volume of the rectangular based pyramid = 181.33

8 0
3 years ago
What is the slope of this graph?
larisa [96]
Since the slope is falling, instead of rising, it would be negative. 

Now, on the line, I plotted (0, 2) and (-2, 10).

You would now plug this into the rise/run formula. 
The formula is \frac{y2 - y1}{x2 - x1}

The equation would become, 
\frac{10 - 2}{-2 - 0} = \frac{8}{-2} = -4

I believe the answer would be -4. 

I hope this helps!

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