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marysya [2.9K]
3 years ago
10

Let r(x)=x^2.If r(x)=4,find x

Mathematics
1 answer:
ElenaW [278]3 years ago
3 0
The answer should be D
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What is the relationship between exponentials and logarithms? How can you use these to solve equations? Provide an example in yo
Sveta_85 [38]

Answer:

Exponentials and logarithms are inverses of each other.

Step-by-step explanation:

Exponentials and logarithms are inverses of each other.

For logarithmic function:

Domain = \left ( 0,\infty  \right ), Range = \left ( -\infty ,\infty  \right )

Vertical asymptote is y - axis.

x - intercept is (1,0)

For exponential function:

Domain = \left ( -\infty ,\infty  \right ), Range = \left ( 0,\infty  \right )

Horizontal asymptote is x - axis.

y- intercept is (0,1)

Both exponential and logarithmic functions are increasing.

For example:

Solve: \log x=\frac{\log 5+\log 3}{\log 3^2}

\log x=\frac{\log 5+\log 3}{\log 3^2}\\\log x=\frac{\log (5\times 3)}{2\log 3}\,\,\left \{ \because \log (ab)=\log a+\log b\,,\,\log a^b=b\log a \right \}\\=\frac{\log 15}{2\log 3}

\Rightarrow \log x=\frac{\log 15}{2\log 3}\\\Rightarrow x=e^{\frac{\log 15}{2\log 3}}\,\,\left \{ \because \log x=y\Rightarrow x=e^y \right \}

4 0
3 years ago
What is the perimeter of this figure? <br> 6x+6<br> 6x+10<br> 4x+6<br> 4x+8
ki77a [65]

Answer: 4x+8

Step-by-step explanation:

Okay since the area for the block is X, two numbers multiplied together is X.

Since the big block has an area of X^2, then this shows the sides to be X.

This gives the sides of the block with area X to be 1 and X.

Now just add up every side like this : 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + x + x + x + x to get 4x+8

8 0
2 years ago
Help with this one plz
kumpel [21]
Wouldn't it be 45? it's the minimum afterall
8 0
3 years ago
Read 2 more answers
Increase 12 1/2cm by 25mm
Rzqust [24]
12.5 cm = 125 mm + 25 mm = 150 mm the as
7 0
3 years ago
(x+1)^2-(x-1)^2 dont kbow what to do
marshall27 [118]

Use this formula a2 − b2 = (a + b)(a − b)

<span>(x+1)^2-(x-1)^2  in this case, a = x+1, b = x-1</span>

<span>= [(x+1) + (x-1)] *  [(x+1) – (x-1)]</span>

=(x +1 + x – 1) *(x +1 – x +1)

= 2x * 2

<span>=4x</span>

6 0
3 years ago
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