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3 years ago

What is the logarithmic form of 81=3^4

Mathematics

1 answer:

arsen [322]3 years ago

5 0

Answer:

log3 81 = 4

Step-by-step explanation:

Convert the exponential equation to a logarithmic equation using the logarithm base (3)(3) of the right side (81)(81) equals the exponent (4)(4).

log3(81)=4

you can remember this

loga Y= X

so, a^x =y

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What is the slope of the line going through the points (-3,-7.5) and (-2,-5)

lakkis [162]

Answer:

2.5

Step-by-step explanation:

y2 - y1 = top

x2 - x1 = bottom

y2 = -5

y1 = -7.5

x2 = -2

x1 = -3

-5-(-7.5) = 2.5

-2-(-3) = 1

2.5 over 1 = 2.5

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2 years ago

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Archy [21]

Answer:

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Step-by-step explanation:

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2 years ago

Louisa ran at an average speed of five miles per hour along an entire circular park path. Calvin ran along the same path in the

docker41 [41]

Answer:

15 miles

Step-by-step explanation:

Let $x$ be the miles in the circular park path, $t_{L}$ the time Louisa takes to finish and $t_{C}$ the time Calvin takes to finish both in hours.

Then $x$ , the longitude is equal to the velocity times the time used to finish. So

$x=5t_{L}$

$x=6t_{C}$

And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

$t_{C}=t_{L}-0.5$

Three equations, three unknowns, the system can be solved.

Equalizing the equation with x :

$5t_{L}=6t_{C}$

In this last equation replace $t_{C}$ with the other equation and solve:

$5t_{L}=6(t_{L}-0.5)\\ 5t_{L}=6t_{L}-3\\ 3=6t_{L}-5t_{L}\\ 3=t_{L}\\ t_{L}=3$

With Louisa's time find x:

$x=5t_{L}\\ x=5(3)\\ x=15$

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2 years ago

2<img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt="\pi" align="absmiddle" class="latex-formula"> x 24 s

Simora [160]

Answer: $48\pi$

Step-by-step explanation:

$(2 \times 24)\pi=48\pi$

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2 years ago