Ask question

Ask question

All categories

3 years ago

5

4 ^ (5x) = 3 ^ (x - 2)

="TexFormula1" title="4 {}^{5x} = 3 {}^{x - 2} " alt="4 {}^{5x} = 3 {}^{x - 2} " align="absmiddle" class="latex-formula">
what is the exact solution

1 answer:

lana66690 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact Form:

x

=

0

,

1

,

2

+

√

5

,

2

−

√

5

Decimal Form:

x

=

0

,

1

,

4.23606797

…

,

−

0.23606797

…

You might be interested in

Identify the minimum value of the function y = 2x^2 + 4x

statuscvo [17]

The function's minimum value is -2 at x = 1

Step-by-step explanation:

Given function is:

$y = 2x^2+4x$

In order to find the maxima or minima of a function, first of all, we have to find the derivative of the function

So,

Taking derivatives on both sides

$\frac{d}{dx}(y) = \frac{d}{dx} (2x^2-4x)\\\frac{dy}{dx} = \frac{d}{dx} (2x^2) - \frac{d}{dx} (4x)\\y' = 2 \frac{d}{dx} (x^2) - 4 \frac{d}{dx}(x)\\y' = 2 (2x) \frac{d}{dx}(x) - 4(1)\\y' = 4x (1) - 4\\y' = 4x - 4$

We have to find the roots of first derivative

So,

$4x-4 = 0\\4x = 4\\x = \frac{4}{4} \\x = 1$

Taking second derivative

$\frac{d}{dx} (y') = \frac{d}{dx} (4x-4)\\y'' = 4$

We can see that the second derivative of the function is a constant so the function has a minima at x=1

For minimum value, putting x = 1 in the function

$= 2(1)^2 - 4(1)\\= 2(1) - 4\\= 2-4\\= -2$

The function's minimum value is -2 at x=1

Keywords: Functions, minimum value

Learn more about functions at:

#LearnwithBrainly

8 0

3 years ago

Seven of 10 students are prepared for the history test

DIA [1.3K]

Answer:

A = 7:10. B = 3:10. C = 7:3

Step-by-step explanation:

8 0

3 years ago

If you roll two fair six-sided dice, what is the probability that the sum is 4 or higher?

makkiz [27]

Hope this helps you.

7 0

3 years ago

Read 2 more answers

PLZZ HELPPPPPP I NEED TO FINISH THIS IN 8 MINS

Margaret [11]

Answer:

$29.69

Step-by-step explanation:

23.52 * 1.1 = $25.872 so this is the marked up price. ----- (1.1 = 110%)

25.872 * 0.1475 = $3.81612 is the sales tax.

Total is 25.872 + 3.81612 ~ $29.69

6 0

3 years ago

2 squared+ 1 squared=?

fomenos

5 is your answer

2 squared = 4
1 squared = 1
4+1=5

Therefore 5 is your answer

4 0

4 years ago

Read 2 more answers