For the love of God help me !! I'm desperate for it tomorrow

Answers

Answer 1

Answer: Try to relax. Your desperation has surely progressed to the point where
you're unable to think clearly, and to agonize over it any further would only
cause you more pain and frustration.
I've never seen this kind of problem before. But I arrived here in a calm state,
having just finished my dinner and spent a few minutes rubbing my dogs, and
I believe I've been able to crack the case.

Consider this: (2)^a negative power = (1/2)^the same power but positive.

So:
Whatever power (2) must be raised to, in order to reach some number 'N',
the same number 'N' can be reached by raising (1/2) to the same power
but negative.

What I just said in that paragraph was: log₂ of(N) = - log(base 1/2) of (N) .
I think that's the big breakthrough here.
The rest is just turning the crank.

Now let's look at the problem:

log₂(x-1) + log(base 1/2) (x-2) = log₂(x)

Subtract log₂(x) from each side:

log₂(x-1) - log₂(x) + log(base 1/2) (x-2) = 0

Subtract log(base 1/2) (x-2) from each side:

log₂(x-1) - log₂(x) = - log(base 1/2) (x-2) Notice the negative on the right.

The left side is the same as log₂[ (x-1)/x ]

==> The right side is the same as +log₂(x-2)

Now you have: log₂[ (x-1)/x ] = +log₂(x-2)

And that ugly [ log to the base of 1/2 ] is gone.

Take the antilog of each side:

(x-1)/x = x-2

Multiply each side by 'x' : x - 1 = x² - 2x

Subtract (x-1) from each side:

x² - 2x - (x-1) = 0

x² - 3x + 1 = 0

Using the quadratic equation, the solutions to that are
x = 2.618
and
x = 0.382 .

I think you have to say that x=2.618 is the solution to the original
log problem, and 0.382 has to be discarded, because there's an
(x-2) in the original problem, and (0.382 - 2) is negative, and
there's no such thing as the log of a negative number.

There,now. Doesn't that feel better.

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h(x)=-(x-3)^2+4

compare to the graph

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Answers

Top equation opens down and the second opens up

Please I need full answer
The solution for $ x $ of the equation $ 8 e^{x}-1=0 $ is

Answers

Answer:

Step-by-step explanation:

The equation $8e^x - 1 = 0$ can be solved to find the value of $x$.

To solve for $x$, we need to isolate the exponential term, $e^x$.

Here are the steps to solve the equation:

1. Add 1 to both sides of the equation to isolate the exponential term:

$8e^x = 1$

2. Divide both sides of the equation by 8:

$\frac{{8e^x}}{8} = \frac{1}{8}$

3. Simplify:

$e^x = \frac{1}{8}$

4. To solve for $x$, we can take the natural logarithm (ln) of both sides of the equation:

$\ln(e^x) = \ln\left(\frac{1}{8}\right)$

5. Since $\ln(e^x)$ and $e^x$ are inverse functions, they cancel each other out:

$x = \ln\left(\frac{1}{8}\right)$

6. Use the properties of logarithms to simplify further:

$x = \ln(1) - \ln(8)$

7. Simplify:

$x = -\ln(8)$

Therefore, the solution for $x$ in the equation $8e^x - 1 = 0$ is $x = -\ln(8)$.

3(-X+4)=7x-8. Yeahhhh...

Answers

Hey there!☺

$Answer:\boxed{x=2}$

$Explanation:$

$3(-x+4)=7x-8$

Let's start by simplifying both sides. First, we distribute.

$(3)(-x)+(3)(4)=7x+-8$

$-3x+12=7x+-8$

$-3x+12=7x-8$

Now let's subtract 7x from both sides.

$-3x+12-7x=7x-8-7x\n-10x+12=-8$

Now we will subtract 12 from both sides.

$-10x+12-12=-8-12\n-10x=-20$

In our last/final step, we will divide both sides by -10.

$(-10x)/(-10)=(-20)/(-10)$

Now simplify -20/-10.

$-20/-10=2$

$x=2$

Hope this helps!

4a. A create containing 24 bottles of fruit juice is made up of 10 bottles of oranges, 8 bottles of apple and 6 bottles of lemon. If one bottle is picked at random, what is the probability of getting a Apple juice

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Answer:

1/6

Step-by-step explanation:

Solve picture question. Mathematics.

Answers

The slope intercept form is
y = mx + c
4x + 9y = -36

We should rearrange to keep it in y = mx + c order
And therefore we do this:

take the x to the other side

9y = -4x - 36

Divide both sides by 9 to be y alone

$(9y)/(9)$ = $(4x - 36)/(9)$
9 and 9 cancels out

y = $-(4x)/(9)$ - 4

The first option is the answer

The price of a pair of shoes is $28. The sales tax rate is 2.39 percent. What is the total amount you would pay if you bought these shoes?