3 years ago

How can I condense this expression into a single logarithm?

1 answer:

4 0

Because they have the same base you can When you subtract logs of the same base you divide them Aka log5-log4= log(5/4) Similarly when you add you multiply Aka log5+log4= log (5*4) Make sure they have the same base like in your problem

You might be interested in

Can anyone help? I’ll give Brainly.. thank you

Arada [10]

Answer: 50

Explanation;

3 0

2 years ago

What value of x makes the equation below true 6x-7=26

VikaD [51]

Answer:

11/2

Step-by-step explanation:

6x−7=26

Step 1: Add 7 to both sides.

6x−7+7=26+7

6x=33

Step 2: Divide both sides by 6.

x= 11/2

6 0

2 years ago

Read 2 more answers

If a Tv screen is 20in wide and 15in high, what is the length?

yuradex [85]

20:15 which reduces to 4:3 or 4/3 or 4 to 3 , hope that helped have a good day

5 0

2 years ago

An architect wants to draw a rectangle with a diagonal of 13 centimeters. The length of the rectangle is to be 3 centimeters mor

butalik [34]

Answer:

The rectangle is 3.2 cm by 12.6 cm

Step-by-step explanation:

See attached image for a diagram.

Choose w to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.

Length = 3w + 3

The diagonal forms two right triangles, each with leg = w, other leg = 3w + 3, hypotenuse = 13.

The Pythagorean Theorem says $(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2$ so

$w^2+(3w+3)^2=13^2\\\\w^2+9w^2+18w+9=169\\\\10w^2+18w-160=0\\\\5w^2+9w-80=0\\$

Now solve using the Quadratic Formula with $a=5,\,b=9,\,c=-80$ .

$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-9\pm\sqrt{81+1600}}{10}\\\\w=\frac{-9\pm\sqrt{1681}}{10}\\\\w=\frac{-9\pm41}{10}\\\\w=-5\text{ or }w=3.2$

The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.

5 0

2 years ago

Trudy orders 18 pizza pies that each have 16 slices. Micah orders 6 more pizza pies than Trudy.

GrogVix [38]

D) Michah: 16 x (18 +6) Trudy: 16 x 18

4 0

2 years ago

Read 2 more answers