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In-s [12.5K]
3 years ago
12

Rewrite the logarithm log8(2) as an exponential expression then find the value of the logarithm

Mathematics
2 answers:
I am Lyosha [343]3 years ago
5 0

Answer:

exponential expression:

8ᵇ = 2

log8(2) = 0.333333333 or 1/3

mojhsa [17]3 years ago
3 0

Answer:

log8(2) = 1/3

Step-by-step explanation:

I don't know if they mean this by an exponential expression but:

set x = log8(2), then

8^x = 8^(log8(2))

By logarithmic properties:

8^x = 2.

notice that 8 = 2^3.

By exponential properties:

8^x = (2^3)^x = 2^(3x)

So 2^(3x) = 2 = 2^1.

Comparing exponents gives:

3x = 1 <=> x = 1/3.

So log8(2) = 1/3.

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The answer is B.

Step-by-step explanation:

The tank initially had 1,200 gallons of water, which is leaking at the rate of 2.5 gallons per hour.

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Which angles are neither obtuse angles nor acute angles?
sleet_krkn [62]

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Step-by-step explanation:

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Read 2 more answers
Pls help!!!!!!!! Will give brainliest!!!!!!!!!!!
prohojiy [21]
Okay so lets look at the equation given
a ^{2} + {b}^{2} = {c}^{2}
this is the Pythagorean theorem, this equation holds true to all right angle triangles.

for the "a" and "b" terms must be the two shortest lengths and "c" must be the longest length.
why? because "c" represents the hypotenuse in this theorem and the hypotenuse is by definition the longest side of a right triangle.

(side note: always draw a picture, it helps a lot if you doodle a bit to get an idea of what you are working with)

we are given three lengths : 3 , 4, and 5 (im ignoring the measurements for now)

we can look at it two ways with a picture and through algebra

try to draw a right triangle with the given info. you'll see there are only two cases were this is possible the picture above is one case where this is not possible

now we can look at this algebraically
a = 3 \\ b = 4 \\ c = 5
(but "a" and "b" can swap lengths)

now with the Pythagorean theorem we can see how this plays out
{a}^{2} + {b}^{2} = {c}^{2} \\ {3 }^{2} + {4}^{2} = {5 }^{2} \\ 9 + 16 = 25 \\ 25 = 25
and heres with "a" and "b" lengths swapped
{4}^{2} + {3}^{2} = {5}^{2} \\ 16 + 9 = 25 \\ 25 = 25
now here's a case when we let 5 , our longest length , become a leg and let one our shorter lengths take the place of "c"

a = 5 \\ b = 3 \\ c = 4 \\ {5}^{2} + {3}^{2} = {4}^{2} \\ 25 + 9 = 16 \\ 34 = 16 \:
obviously 34 does not equal 16

hope this helped you out

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3 years ago
Help lolz nsjsdh fgd fnf​
Makovka662 [10]

Answer:

It's just like reflection

Step-by-step explanation:

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What is the slope of the line that goes through the points (2,-1) and (6,1)
drek231 [11]

Answer: The slope is \frac{1}{2}.

Step-by-step explanation:

1. You set up your Slope Formula M=\frac{y2-y1}{x2-x1}.

2. Substitue your points into the formula.M=\frac{1--1}{6-2}.

3. Once you substitute, you will solve the equationM=\frac{2}{4}.

4. Simplify the equation if you have to M=\frac{1}{2\\}.

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3 years ago
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