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4 years ago

PLEASE HELP!! (Sorry picture isn't that great)

Mathematics

2 answers:

andreev551 [17]4 years ago

8 0

I am almost positive that the answer is the first one.

BartSMP [9]4 years ago

8 0

the answer is a. hope it helps

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Which of the following is true regarding the solutions to the logarithmic equation below? 2 log Subscript 6 Baseline (x) = 2. lo

Serggg [28]

Option c: x=6 is a true solution and x=-6 is an extraneous solution.

Explanation:

The equation is $2 \log _{6} x=2$

Dividing both sides of the equation by 2, we get,

$\frac{2 \log _{6}(x)}{2}=\frac{2}{2}$

Simplifying,

$\log _{6}(x)=1$

Since, we know by the logarithmic definition, if $\log _{a}(b)=c$ , then $b=a^{c}$

Using this definition, we have,

$x=6^{1}$

Hence, $x=6$

Now, let us verify if $x=6$ is the solution.

Substitute $x=6$ in the equation $2 \log _{6} x=2$ to see whether both sides of the equation are true.

We have,

$2 \log _{6}(6)$

Using the log rule, $\log _{a}(a)=1$

We have,

$2*1=2$

Hence, both sides of the equation are equal.

Thus, $x=6$ is the true solution.

4 0

3 years ago

Read 2 more answers

HELP ME PLEASEEEEEEEEEE

iren [92.7K]

Answer: H

Step-by-step explanation:

It’s basically saying that the x point is a negative and the y point is a positive, and point “h” is (-3,2) so it fits the description

hope this helps!

6 0

3 years ago

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Explain how you can find a fraction that is equivalent to 1/4

MissTica

Whatever you multiplied to the denominator, do it to the numerator.

6 0

3 years ago

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The sum of two consecutive even number's is 66. find the numbers.

Elena L [17]

Answer:

$32\ and\ 34.$

Step-by-step explanation:

Let x be the smaller number.

The next even number will be (x + 2).

$x+x+2=66$

$2x+2=66$

Subtract 2 from both sides:

$2x+2-2=66-2$

$2x=64$

Divide both sides by 2:

$\frac{2x}{2}=\frac{64}{2}$

$x=32$

The smaller number is 32.

Larger number $=32+2=34$

5 0

3 years ago

Suppose that 10% of people own dogs. If you pick two people at random what is the probability that they both own a dog?

son4ous [18]

Answer: probability 0.01 %

Step-by-step explanation:

P(A) = 10% = 10/100 = 0.10

pick two people -

= P(A).P(A)

= 0.10 times 0.10

= 0.01

probability = 0.01

5 0

3 years ago