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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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A customer at the produce section of a food store bought cucumbers and heads of lettuce . The quantity she purchased of the head
kkurt [141]
He bought 3 cucumbers because 3*5=15, 15-6=9, 9*.7=6.3, .3*3=.9, .9+6.3=7.2
4 0
3 years ago
Each person in ellens family drinks 8 1/3 ounces of water. If 5 people are in ellen's family. how many ounces of water do they d
Svetach [21]

Answer:

41 2/3 oz of water

Step-by-step explanation:

All you have to do is multiply 8 1/3 by 5.

First, lets convert 8 1/3 into an improper fraction (a fraction where the numerator is greater than the denominator):

8 1/3 = 25/3

now, we can multiply 25/3 by 5 and get 125/3, which simplifies to 41 2/3

5 0
3 years ago
What’s a complex conjugate in math
goldenfox [79]

Answer:


Step-by-step explanation:

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. For example, the complex conjugate of 3 + 4i is 3 − 4i. In polar form, the conjugate of is.

3 0
3 years ago
Let f(x) = 6x - 5 and g(x) = 8x, for x E R.<br> Write down g(2).<br><br> Find (fog)(x)
ziro4ka [17]

Answer:

48x -5

Step-by-step explanation:

(fog)(x) = f(g(x)) = 6(8x)-5 =48-5

5 0
3 years ago
In the third quarter of 2001, the median sale price for a single-family
snow_tiger [21]

Answer:

The % increase is 7.179 but see the remark I made below. What I have given and what it could be is a rounding error. Less than 2 dollars error is not much when you are calculating something for someone just to show them how to do it.

Step-by-step explanation:

242,555 * x/100 = 259,970           Multiply by 100

242,555 * x = 259970 * 100

242,555 * x = 25997000            Divide by 242555

x = 24997000/242444

x = 107.179

That's the total increase.

What you want is 7.179%

If you take 7.179% of 242,555 and add it onto 242555 you should get 259,970

7.1797/100 * 242555 = 17413.02

17413.02 + 242555 = 259968.02

Why isn't it exact. I'm out just about 2 whole dollars. The reason is that the % isn't exact. It's only out to 3 decimal places which apparently is not enough. You can go over my numbers if you want more exactness us use something that is rounded to 7.180 if you like.

8 0
3 years ago
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