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3 years ago

In the problems below, f(x) = log₂x and

Mathematics

1 answer:

kramer3 years ago

3 0

Answer:

(1,0)

Step-by-step explanation:

The given functions are:

f(x) = log₂x

and

g(x) = log₁₀x

We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

Therefore the point the graphs of f and g have in common is (1,0)

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chubhunter [2.5K]

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4 years ago

What is -5x -10=10 ?

Alika [10]

Answer: " x = - 4 " .

____________

Step-by-step explanation:

____________

Method 1):

____________

Given:

" -5x − 10 = 10 " ; Solve for "x" ;

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Add "10" to Each Side of the equation:

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-5x − 10 + 10 = 10 + 10 ;

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to get:

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-5x = 20 ;

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Now, divide Each side of the equation by " -5 " ;

to isolate "x" on one side of the equation;

& to solve for "x" :

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-5x / -5 = 20/ -5 ;

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to get:

" x = - 4 " .

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Method 2):

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Given:

" -5x − 10 = 10 " ; Solve for "x" ;

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Multiply each side of the equation by "-1" ; to get rid of the "negative value" of the "coefficient of "x" :

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-1 *{-5x − 10} = 10*{-1} " ;

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to get:

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[-1*-5x] − [-1*10] = -10 ;

to get:

5x − (-10) = -10 ;

to get:

5x + 10 = -10 ;

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Subtract "10" from Each Side of the equation:

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5x + 10 − 10 = -10 − 10 ;

to get:

5x = -20 ;

____________

Now, divide each side of the equation by "5" ;

to isolate "x" on one side of the equation;

and to solve for "x" ;

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5x / 5 = -20 / 5 ;

____________

to get:

" x = - 4 " .

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Method 3):

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Given:

" -5x − 10 = 10 " ; Solve for "x" ;

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Divide Each Side of the equation by: "-5" ;

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" $\frac{-5x-10}{-5} = \frac{10}{-5}$ " ;

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Simplify to:

" $\frac{-5x}{-5} - \frac{10}{-5} = \frac{10}{-5}$ " ;

Simplify to:

" x − (-2) = - 2 " ;

Simplify to:

" x + 2 = - 2 " ;

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Now, subtract "2" from Each Side of the equation;

to isolate "x" on one side of the equation;

and to solve for "x":

____________

" x + 2 − 2 = - 2 − 2 " ;

____________

to get:

" x = - 4 " .

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Hope these explanations are helpful to you!

Wishing you the best!

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Degger [83]

Answer:

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Step-by-step explanation:

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3 years ago

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alexgriva [62]

Answer:

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4 years ago

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possible choices of gifts.

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$\dbinom 42 = \dfrac{4!}{2!(4-2)!} = 6$

choices.

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way to select the gifts for them.

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2 years ago