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3 years ago

13Given that log (xy) 3 and log, (x2y3)4Calculate the values of log, x and log, y

Mathematics

1 answer:

Nonamiya [84]3 years ago

8 0

$If \ log_q(xy)=3, \ then \ log_qx+log_qy=3 \ . . . . . \ (1) \\ If \ log_q(x^2y^3)=4, \ then \ log_qx^2+log_qy^3=2log_qx+3log_qy=4 \ . . . . . \ (2) \\ From \ (1), \ log_qx=3-log_qy \\ substituting \ for \ log_qx \ in \ (2) \ gives: \\ 2(3-log_qy)+3log_qy=4 \\ 6-2log_qy+3log_qy=4 \\ \\ Therefore, \ log_qy=4-6=-2; \ and \\ log_qx=3-log_qy=3-(-2)=3+2=5$

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Sphere with a volume of 1767.1 . what is the radius?

Llana [10]

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3 years ago

Help needed!! Don’t know how to do!!

Aleks [24]

Answer:

D,0,2,-2

Step-by-step explanation:

2x^5-3x^3-20x=0

x(2x^4-3x^2-20)=0

x=0

or 2x^4-3x^2-20=0

put x²=t

2t²-3t-20=0

-20×2=-40

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8×-5=-40

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2t(t-4)+5(t-4)=0

(t-4)(2t+5)=0

t=4

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x=2,-2

t=-5/2

x²=-5/2

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3 years ago

Read 2 more answers

X^2 - 20x= -2x - 80 what is the intermediate step

Lisa [10]

X^2 - 18x = -80 (add 2x to both sides)

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2 years ago

what is the probability of (A) if P(AnB) =.20; P(AnC) =.16; and P(AnD) =.11 and we assume "A" can occur simultaneously only with

NemiM [27]

<span>the probability of (A)
P(A)=</span>P(AnB)*P(AnC)*<span>P(AnD)
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the answer is
the P(A)=0.35%</span>

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3 years ago

What positive integer is the solution set for t<2

vladimir2022 [97]

Answer:

Step-by-step explanation:

t < 2 - t is less than 2

1 is the positive integer as the solution of the inequality t < 2.

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3 years ago