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3 years ago

Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x, and log y.

Mathematics

1 answer:

Finger [1]3 years ago

7 0

Answer:

log x³ y⁴ = 3 log ( x ) + 4 log( y)

Step-by-step explanation:

Given function log x³ y⁴

step(i):-

Applying logarithmic formula

log ( a b ) = log (a) +log (b)

log x³ y⁴ = log ( x³ ) + log( y⁴)

step(ii):-

Applying logarithmic formula

log (x ⁿ) = n log x

log x³ y⁴ = log ( x³ ) + log( y⁴)

log x³ y⁴ = 3 log ( x ) + 4 log( y)

final answer:-

log x³ y⁴ = 3 log ( x ) + 4 log( y)

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How are the rules for multiplying and dividing integers similar and how are they different?

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Answer:

OK SO IN MULTIPLYING INTEGERS

negative into negative is positive

positive into positive is positive

positive into negative is negative

Step-by-step explanation:

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3 years ago

Can someone please help me with this question

lakkis [162]

A. Angle 3 is a vertical angle to angle 2 which means they are the same.

Angle 3 = 76 degrees

B. Angle 6 is also the same as angle 2.

Angle 6 = 76 degrees

C. Angle 8 + angle 6 form a straight line which equals 180 degrees

Angle 8 = 180 - 76 = 104 degrees

7 0

2 years ago

Read 2 more answers

The larger of two numbers is 2 less than three times the smaller number. If the sum of the two numbers is 26, find the two numbe

Delvig [45]

Answer:

Step-by-step explanation:

19 and 7

6 0

3 years ago

What is the midpoint of EC ?

sladkih [1.3K]

Given:

Given that the graph OACE.

The coordinates of the vertices OACE are O(0,0), A(2m, 2n), C(2p, 2r) and E(2t, 0)

We need to determine the midpoint of EC.

Midpoint of EC:

The midpoint of EC can be determined using the formula,

$Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Substituting the coordinates E(2t,0) and C(2p, 2r), we get;

$Midpoint=(\frac{2t+2p}{2},\frac{0+2r}{2})$

Simplifying, we get;

$Midpoint=(\frac{2(t+p)}{2},\frac{2r}{2})$

Dividing, we get;

$Midpoint=(t+p,r)$

Thus, the midpoint of EC is (t + p, r)

Hence, Option A is the correct answer.

4 0

3 years ago

In one town, 47% of all voters are Democrats. If three

34kurt

Answer:

The probability that the all three votes are Democrats

P(X=3) = 0.1038

Step-by-step explanation:

Step(i):-

Given that the all voters are democrats

The probability that the all voters are democrats

p = 47% =0.47

q = 1-p =1-0.47 = 0.53

Step(ii):-

Let 'X' be the random variable in binomial distribution

$P(X=r) = n_{C_{r} } p^{r} q^{n-r}$

The probability that the all three votes are Democrats

P(X=3) = 0.1038

n=3 and r=3

$P(X=3) = 3_{C_{3} } (0.47)^{3} (0.53)^{3-3}$

$P(X=3) = 1 (0.47)^{3}$

P(X=3) = 0.1038

Final answer:-

The probability that the all three votes are Democrats

P(X=3) = 0.1038

5 0

3 years ago