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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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Find the slope and y-intercept of the graph of the equation. show your work please.
choli [55]

Answer:

<h2>A. the slope is 8.</h2><h2>A. the y-intercept is 1</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

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m - slope

b - y-intercept

We have the equation y = 8x + 1.

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5 0
3 years ago
What two integers have a sum of -7 and a product of -18?
Elis [28]

Answer:

-9 and 2

Step-by-step explanation:

-9 x 2

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2 years ago
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gulaghasi [49]
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Task 5:
Natasha_Volkova [10]

Answer:

p=18x+4

a=20x^2+17x-63

a=1350

Step-by-step explanation:

Given:

l=5x-7

w=4x+9

Required:

Area of the rectangle=?

Perimeter of the rectangle=?

If x = 9 inches what is the area of the shape=?

Formula:

a=l*w

p=2(l+w)

Solution:

p=2(l+w)

p=2(5x-7)+2(4x+9)

p=10x-14+8x+18

p=10x+8x+18-14

p=18x+4

a=l*w

a=(5x-7)(4x+9)

a=20x^2+45x-28x-63

a=20x^2+17x-63

Area of the shape if x=9in

a=20x^2+17x-63

a=20(81)+17(9)-63

a=1620+153-63

a=1413-63

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There are 7 faces, 12 edges and 24 vertices in a hexagonal pyramid.
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