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scoray [572]
3 years ago
15

Solve the logarithmic equation: x= log5 (1/625)=

Mathematics
1 answer:
Verizon [17]3 years ago
5 0
You can convert (1/625) to an exponent, and it would be ideal to have 5 as the base of it because you want your log base to cancel it out. what i usually do in this case is just test out 5^1, 5^2, etc until i find one that matches the number i need. in this case because the number you're trying to work with is a small fraction, you'll want to use NEGATIVE exponents so it'll create a fraction instead of a large whole number:

5^-1 = 1/5
. . . keep trying those. . .
5^-4 = 1/625

so, because they're equal to one another, it'll be waaay easier after you substitute 5^-4 in place of 1/625

x = log₅ 5⁻⁴

log base 5 of 5 simplifies to 1. subbing in the 5^-4 gets rid of the log for you altogether, and your -4 exponent drops down:

x = -4 is your answer

if the exponent dropping down doesn't make sense to you, you can think of it in another way:

x = log₅ 5⁻⁴

expand the expression so that the exponent moves in front of the log function:

x = (-4) log₅ 5

then, still, log base 5 of 5 simplifies to 1, so you're left with:

x = (-4)1 or x = -4
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Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your
Mila [183]

The critical value of r is mathematically given as r = +0.487, with no significant linear correlation. Option A.

<h3>What are the critical values of r?</h3>

Question Parameters

r = -0.868

n = 5

df = 5 - 2

df = 3

\alpha / 2 =0.025

Critical values r= \pm 0.878

Generally, there exists no linear correlation between the Critical values

as r=0.878

In conclusion,  Critical values: r = +0.487, no significant linear correlation

Read more about Critical values

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5 0
1 year ago
The radius of a nitrogen atom is 5.8*10^-11 meters, and the radius of a beryllium atom is 1.12*10^-10 meters. Which atom has a l
Burka [1]
Nitrogen Radius = 5.8 x 10⁻¹¹ m

Beryllium Radius = 1.12 x 10⁻¹⁰ m

Let's find the quotient of N/Be :

(5.8x10⁻¹¹)/(1.12x10⁻¹⁰). But 10⁻¹¹/10⁻¹⁰ = 10⁽⁻¹¹⁺¹⁰⁾ = 10⁻¹ = 1/10 = 0.1

→ (5.8/1.12).(0.1) = 0.58/1.12 = 0.518.

Conclusion: the radius of Be is almost double than the radius of N
5 0
3 years ago
Assuming thay line WXZ is straight, what are the measure and classification of angle YXZ?
Talja [164]
It’s b.
because it’s would be 180-45
8 0
3 years ago
PLEASE HURRRYY!!! I need help
VashaNatasha [74]

Answer:

C) 8 ft

Step-by-step explanation:

you use the pythagorean theorem to find the height.

a² + b² = c²

a = radius

b = height

c = slant height

15² + h² = 17²

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The sum of 5 and 8 times a number is 45 Which of the following equations below can be used to find the unknown number
Ulleksa [173]
The answer to this is C
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