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3 years ago

What is the inverse of the logarithmic function f(x)=log9x?

Mathematics

2 answers:

stepladder [879]3 years ago

8 0

Y = log base9 of x

let x = log base9 of y and solve for y

9^x = y

IgorC [24]3 years ago

7 0

Answer:

f –1(x) = 9x

if your on E 2020

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kondaur [170]

Answer:

Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift

Step-by-step explanation:

Equations

Let's make:

x = the number of years from now

Karim now is 22 and Ziad is 8. x years from now Karim will be

22 + x years old and Ziad will be

8 + x years old.

Karim will give Ziad a wonderful gift when:

22 + x = 3(8 + x)

22 + x = 24 + 3x

Solving:

x = -1

This means that Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift

4 0

2 years ago

What is 5X minus Y equals 6+ negative 2X plus Y=8

vova2212 [387]

Answer:

For the given expression: $X = (\frac{10}{3}) , Y = (\frac{26}{3})$

Step-by-step explanation:

Here, the given expression in statement form is given as:

5 X minus Y equals 6 + negative 2 X plus Y = 8

Now, converting the given statement mathematically, we get:

5X - Y = 6 + (-2X) + Y = 8

Now, considering first and the last terms,we get:

5 X - Y = 8 .... (1)

and , considering second and the last terms,we get:

6 + (-2X) + Y = 8 or, -2X + Y = 2 ......... (2)

Adding (1) and (2) , we get:

5 X - Y - 2 X + Y = 8 + 2

or, 3 X = 10

or, X = 10/3 = 3.34

Now, 5X - Y = 8

or, $5(\frac{10}{3}) - Y = 8\\ \implies Y = \frac{50}{3} - 8 = \frac{50 - 24}{3} = \frac{26}{3} \\\implies Y = \frac{26}{3}$

Hence, for the given expression:

$X = (\frac{10}{3}) , Y = (\frac{26}{3})$

3 0

2 years ago

Will mark brainlest how to multipy it

Lesechka [4]

Answer:

$\displaystyle x = 2 \sqrt{3}$

Step-by-step explanation:

we would like to solve the following equation:

$\displaystyle \sqrt{3} = \frac{6}{x}$

in order to do so do cross multiplication:

$\displaystyle x \sqrt{3} = 6$

divide both sides by √3:

$\displaystyle x = \frac{6}{ \sqrt{3}}$

since we ended up with a square root on the denominator so we can consider rationalising the denominator to do so multiply both numerator and denominator by √3 which yields:

$\displaystyle x = \frac{6}{ \sqrt{3}} \times \frac{ \sqrt{3} }{ \sqrt{ 3} }$

simplify multiplication:

$\displaystyle x = \frac{6 \sqrt{3} }{ 3}$

reduce fraction:

$\displaystyle x = 2 \sqrt{3}$

and we are done!

6 0

3 years ago

7/8, 3/10 whats the common denominator

Ivahew [28]

The common denominator is 40.

3 0

3 years ago

Read 2 more answers

A university is building a new student center that is two- thirds the distance from the arts center to the residential complex.

Natasha2012 [34]

Answer:

$C = (\frac{21}{5},\frac{33}{5})$

Step-by-step explanation:

Given

Points: (1, 9) and (9, 3)

Ratio = 2/3

Required

Determine the coordinate of the center

Represent the ratio as ratio

$Ratio = 2:3$

The new coordinate can be calculated using

$C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})$

Where

$(x_1,y_1) = (1, 9)$

$(x_2, y_2) = (9, 3)$

$m:n = 2:3$

Substitute these values in the equation above

$C = (\frac{2 * 9 + 3 * 1}{3 + 2},\frac{2 * 3 + 3 * 9}{2 + 3})$

$C = (\frac{18 + 3}{5},\frac{6 + 27}{5})$

$C = (\frac{21}{5},\frac{33}{5})$

Hence;

The coordinates of the new center is $C = (\frac{21}{5},\frac{33}{5})$

7 0

2 years ago