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3 years ago

How to solve this algebraically?

Mathematics

2 answers:

Keith_Richards [23]3 years ago

7 0

Ok so x+4-1 makes x-1 so i belive the answer could be 1/5

laila [671]3 years ago

7 0

I believe in order to solve this question, use L'Hopital's Rule, as both the top and bottom will equal 0/0. Which is not what we want. Basically take the derivative of the top expression and take the derivative of the bottom expression. So the derivative of top can be written as d(X)/dx - d(5)/dx and divide everything by the derivative bottom expression that you must take as d(X+4)^1/2/dx, as square root of X+4 is the same as (X+4)^1/2. So altogether it would be d(X+4)^1/2/dx - d(3)/dx. So after taking the derivative on the top it becomes 1-0= 1. Then taking the derivative of bottom will be 1/[2(X+4)^1/2] - 0 = the same thing. Plugging in 5 into the new expression with derived top and bottoms would be 1/1/[2(5+4)^1/2. Evaluating will give you the answer as 1/6.

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Given the equation:

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Then, in order to find the hydrogen ion concentration of the fluid, you need to follow these steps:

1. Substitute the pH given in the exercise into the equation:

$4.5=-log(H^+)$

Multiply both sides by -1:

$-4.5=\log (H^+)$

2. Solve for:

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Remember that, by definition:

$\log _b\mleft(c\mright)=a\Rightarrow b^a=c$

In this case, you can identify that:

$\begin{gathered} a=-4.5 \\ b=10 \\ c=H^+ \end{gathered}$

Hence, substituting values and simplifying, you get:

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Therefore, the answer is:

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1 year ago

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Veseljchak [2.6K]

Answer:

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Step-by-step explanation:

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3 years ago

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