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4 years ago

What logarithmic function represents the data in the table?.

1 answer:

5 0

x | f(x)
25 | 2
125 | 3
625 | 4

From my research, the above table belongs to the question. The values in x show increasing exponential values of 5, where:

5^2 = 25
5^3 = 125
5^4 = 625

As for the case of f(x), they are the values of the powers. So the logarithmic function that would explain the values of x and f(x) would be:

A base-5 function:
f(x) = log5 x

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Select the correct answer.

andrew-mc [135]

Answer:

OPTION C

Step-by-step explanation:

We have the following rules:

$\sqrt[a]{x} = x^{\frac{1}{a}$ and

$x^a . x^b = x^{a + b}$

OPTION A: $x \sqrt[7]{x}$

= $x . x^{\frac{1}{7}$

= $x^{1 + \frac{1}{7}$

$= x^{\frac{8}{7}$ $\ne x^{\frac{9}{7}$

So, it can be eliminated.

OPTION B: $\bigg ( \frac{1}{\sqrt[7]{x}} \bigg )^9$

= $\bigg ( \frac{1}{x^{\frac{1}{7}}} \bigg )^9$

= $\bigg ( x^ {\frac{-1}{7}} \bigg )^9$

= $x^{\frac{-9}{7}}$

So, this option is also eliminated.

OPTION C: $x . \sqrt[7]{x}$

= $x . x^{\frac{1}{7}}$

= $x^{1 + \frac{1}{7}}$

= $x^{\frac{9}{7}}$

So, OPTION C is the answer.

5 0

3 years ago

X+y=4 x-y=6 consistent inconsistent or equivalent

Brut [27]

Yo sup??

x+y=4 -----1

x-y=6 ----2

adding equation 1 and 2 we get

2x=10

x=5

from equation 1 we get

5+y=4

y=-1

Since a definite value of x and y exists therefore the set of equations are consistent.

Hope this helps.

3 0

3 years ago

Help please! What is the function, written as a simplified fraction?

andreyandreev [35.5K]

Answer:

$f(\frac{1}{2} )=\frac{14}{3}$

Step-by-step explanation:

Substitute 1/2 wherever you see x

$f(\frac{1}{2} ) = \frac{-2}{3} (\frac{1}{2}) + 5\\$

= -1/3 +5

= -1+15/3

=14/3

4 0

2 years ago

This is the term in a polynomial without a variable. Example: -6 in the expression 2x + 3y - 6

coldgirl [10]

It is called a constant.
Remember a "variable" means that the value of that term can change depending on the value of the "x" or "y". Since (in this case), -6 does not have a variable attached, it will not change, it will remain CONSTANT.

5 0

3 years ago

P/4+6=8 (show work pls)

slavikrds [6]

Answer:

p = 8

Step-by-step explanation:

$p/4 + 6 = 8\\p/4 + 4 * 6 /4 = 8$

8 0

3 years ago