All categories

3 years ago

Logarithmic question please help!!

Mathematics

2 answers:

Ivanshal [37]3 years ago

5 0

Answer:

Step-by-step explanation:

They have the same base so use the quotient rule (since they have a minus sign in between).

We are using this rule: $log_a(b)-log_a(c)=log_a(\frac{b}{c})$

So we have $log_3(15)-log_3(10)=log_3(\frac{15}{10})$

We can reduce the inside fraction... 15/10=3/2

So the answer is B.

Dahasolnce [82]3 years ago

3 0

$\log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\log_315-\log_310=\log_3\dfrac{15}{10}=\boxed{\log_3\dfrac{3}{2}}$

You might be interested in

X=(a+b)/2 solve for a

Usimov [2.4K]

Answer:

a=2x-b

Step-by-step explanation:

$x=\frac{a+b}{2}\\\\\frac{a+b}{2} = x\\ a+b = 2x\\a= 2x-b\\$

5 0

3 years ago

Describe how to compare the two decimals 0.6 and 0.8

Dovator [93]

Answer:

they are 0.2 apart from each other and can easily be shown on a number line

Step-by-step explanation:

8 0

3 years ago

What is the sum of a 56-term arithmetic sequence where the first term is 6 and the last term is 391?

Sati [7]

$S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\a_1=6;\ n=56;\ a_{56}=391\\\\subtitute\\\\S_{56}=\dfrac{6+391}{2}\cdot56=\dfrac{397}{2}\cdot56=397\cdot28=11,116$

7 0

3 years ago

Read 2 more answers

In 3 seconds an ostrich can run 63 meters. How fast can it run in 5 seconds.

Sati [7]

What u can do is do 3/63=5/x. so u have to get x all by itself.

3/63=5/x
cross multiply
63×5 and 3×x
315=3x
divide by 3 to the number 315
ANSWER:105

8 0

3 years ago

PLEASE HELP!! Identify the minium value of the function

timama [110]

Because this is a positive parabola, it opens upwards, like a cup, and the vertex dictates what the minimum value of the function is. In order to determine the vertex, I recommend completing the square. Do that by first setting the function equal to 0 and then moving the 9 to the other side by subtraction. So far: $x^2+6x=-9$ . Now, to complete the square, take half the linear term, square it, and add that number to both sides. Our linear term is 6. Half of 6 is 3 and 3 squared is 9. So add 9 to both sides. $x^2+6x+9=-9+9$ . The right side reduces to 0, and the left side simplifies to the perfect square binomial we created while completing this process. $(x+3)^2=0$ . Move the 0 back over and the vertex is clear now. It is (-3, 0). Therefore, 0 is the minimum point on your graph. The first choice above is the one you want.

3 0

4 years ago