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AleksandrR [38]
3 years ago
9

Solve log x = 4. Please show all the work!

Mathematics
1 answer:
Gnom [1K]3 years ago
7 0

Answer:

x = 10000

Step-by-step explanation:

Using the rule of logarithms

log_{b} x = n ⇔ x = b^{n}

Given

log x = 4 ( noting that log x has base 10 ), then

x = 10^{4} = 10000

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Tangent AD and secant FB intersect at point C, the point of tangency. what is the measure of DCF?
seropon [69]

Answer:

∠DCF is 100°    

Step-by-step explanation:

Given tangent AD and secant FB intersect at point C, the point of tangency. We have to find the measure of ∠DCF.

As, ∠COF=160°

In ΔCOF, by Angle Sum Property of triangle

∠OCF+∠COF+∠OFC=180°

⇒ ∠OCF+160°+∠OCF=180°   (∵OC=OF)

⇒ 2∠OCF=20° ⇒ ∠OCF=10°

Now, we have to find the ∠DCF

∠DCF=∠DCO+OCF

As radius from the center of circle to the point of tangency is perpendicular to the tangent line.

∠DCF=∠DCO+OCF

         =90°+10°=100°          

5 0
4 years ago
. Find the quotients.<br>a) (x2 - 4) =/(x + 2)<br>c) (4x2 - 1) / (2x + 1)​
docker41 [41]

Answer:

\frac{x^2-4}{x+2} = x-2\\\frac{4x^2-1}{2x+1} = 2x-1

Step-by-step explanation:

<u>a) (x2 - 4)/(x + 2)</u>

We can simply use factorization to solve the given question.

Here the first term will be numerator and second term will be denominator.

We will factorize the numerator.

So,

\frac{x^2-4}{x+2}

Using formula, a^2+b^2 = (a+b)(a-b)

\frac{x^2-4}{x+2}\\= \frac{(x^2)-(2)^2}{x+2}\\=\frac{(x+2)(x-2)}{x+2}\\= x-2

<u>b) (4x2 - 1) / (2x + 1)​</u>

We can simply use factorization to solve the given question.

Here the first term will be numerator and second term will be denominator.

We will factorize the numerator.

\frac{4x^2-1}{2x+1}

Using formula, a^2+b^2 = (a+b)(a-b)

= \frac{(2x)^2-(1)^2}{2x+1}\\=\frac{(2x+1)(2x-1)}{2x+1}\\= 2x-1

Hence,

\frac{x^2-4}{x+2} = x-2\\\frac{4x^2-1}{2x+1} = 2x-1

8 0
3 years ago
What is inequality when solved for v?
anastassius [24]

Answer:

check out this answer will help you: brainly.com/question/16355363

Step-by-step explanation:

5 0
3 years ago
Given that f(x)=x2+3x+6 and g(x)=x-3/2, solve for f(g(x)) when x=1
Lemur [1.5K]
They want you to find the composite function and they evaluate it at a give value for x...first the composite function...

f(g(x))=(x-1.5)^2+3(x-1.5)+6

f(g(x))=x^2-3x+2.25+3x-4.5+6

f(g(x))=x^2+3.75, this is the completed composition function...now:

f(g(1)=1+3.75=4.75
4 0
4 years ago
To what power (-3) should be raised to get -27.
N76 [4]

Answer:

3 is the answer

Step-by-step explanation:

-3^3 will give u - 27

8 0
3 years ago
Read 2 more answers
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