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OLEGan [10]
4 years ago
13

Simplify into one logarithm 2 log x + 3 log y

Mathematics
1 answer:
const2013 [10]4 years ago
8 0
If a logarithm has a coefficient, then the coefficient can also be written as the exponent of the input of the logarithm. In other words, if you have the logarithm alog(x), that is equal to log(x^a). So the expression can be rewritten:

log(x^2)+log(y^3)

If tow logarithms of the same bases are added together that is equal to the logarithm of the product of the inputs of the two original logarithms. In other words, given log(x)+log(y), it can also be written as log(xy). So the expression can be combined into one logarithm:

log(x^2 * y^3)
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Which pair of expressions represents inverse functions?
faust18 [17]

In this question , we have to find, which option represents inverse functions.

Let's check out option b

Let it be y

So we have

y = \frac{x+3}{4x-2}

Switching x and y and solving for y,

x = \frac{y+3}{4y-2}

Performing cross multiplication

4xy -2x = y+3

Combining like terms

y(4x-1) = 3+2x

y = \frac{2x+3}{4x-1}
\\
f^{-1} (x) = \frac{2x+3}{4x-1}

Which is same as of the other function.

So correct option is b .

6 0
4 years ago
Read 2 more answers
How does the percent equation relate proportional quantities?​
Julli [10]

Answer:

Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.

Step-by-step explanation:

5 0
3 years ago
Which ordered pair is the on the graph of the equation 2x+5y=4?
vredina [299]
To determine which of the choices is lies on the line represented by the equation, 2x + 5y = 4, substitute the values of the abscissas to the x of the equation and solve for y. Evaluate if the y calculated is equal to the ordinate of the ordered pair. Calculations are shown below.

A. (7, -2)       ; 2(7) + 5y = 4     ;       y = -2      ; EQUAL
B. (0,-1)        ; 2(0) + 5y = 4     ;       y = 0.8    ; NOT EQUAL
C. (0,1)         ; 2(0) + 5y = 4     ;       y = 0.8    ; NOT EQUAL
D. (3, -2)       ; 2(-3) + 5y = 4    ;       y = 2       ; NOT EQUAL

Thus, the answer is letter A. (7, -2)
8 0
4 years ago
[30points] What is the formula used to make an equation when we know the zeroes (alpha+beta) and (alpha x beta) ?
stepan [7]

Answer:

If it is a quadratic equation then it's zeroes are alpha and beta. Sum of zeroes is -b/a. So alpha plus beta is -b divided by a.

Step-by-step explanation:

3 0
3 years ago
What are the zeros of the function shown in the graph? −1, 1, 2 −2, −1, 1 −3, −1, 1 −1, 1, 3
joja [24]

Answer:

Step-by-step explanation:

K

8 0
3 years ago
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