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3 years ago

How do you simplify logarithms? Show example

1 answer:

5 0

log2(8)=log2(23)=3log2(4)=log2(22)=2 ⟹log2(8)+log2(4)=3+2=5

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Each Cube inside the rectangle Prisma has a edge length of 3/4 inches which is the value of the Prisma

Sphinxa [80]

Answer:

Step-by-step explanation:

6 0

3 years ago

The fish Anastasia caught was Plz Help ASAP 20 POINTS

s344n2d4d5 [400]

difference= 0.78[Anastasia's] - (1 - 0.34)[Sergei's]=

0.78m - (0.66m)=0.12m=12cm

6 0

3 years ago

Read 2 more answers

Use geometric series to find the fraction of 0.8967898989

Sliva [168]

I'm guessing the repeating part is 89 at the end, so that

$x=0.8967\overline89\implies10^4x=8967.\overline{89}$

Then

$10^4x=8967+\displaystyle89\sum_{i=1}^\infty\frac1{100^i}$

$10^4x=8967+89\left(\dfrac1{1-\frac1{100}}-1\right)$

$10^4x=8967+\dfrac{89}{99}$

$x=\dfrac{8967}{10^4}+\dfrac{89}{99\cdot10^4}$

$x=\dfrac{443911}{495000}$

###

An arguably quicker way without using geometric series:

$10^4x=8967.\overline{89}$

$10^6x=896789.\overline{89}$

$10^6x-10^4x=887822$

$x=\dfrac{887822}{10^6-10^4}=\dfrac{443911}{495000}$

8 0

4 years ago

What's the solution to 1/5+1/3x>1/2-1/4?

Serjik [45]

Answer:

x> 3/20

Step-by-step explanation:

Let's solve your inequality step-by-step.

1 /5 + 1 /3 x> 1 /2 − 1 /4

Step 1: Simplify both sides of the inequality.

1 /3 x+ 1 /5 > 1 /4

Step 2: Subtract 1/5 from both sides.

1 /3 x+ 1/ 5 − 1 /5 > 1 /4 − 1 /5 1 /3 x> 1 /20

Step 3: Multiply both sides by 3.

3*( 1 /3 x)>3*( 1 /20 ) x> 3 /20

Answer:

x> 3/ 20

Hope this helps!!

6 0

4 years ago

I need help on 11-16

alisha [4.7K]

I cant see all of 11 and 14
12:
$3f = 18 \\ \frac{3f}{3} = \frac{18}{3} \\ f = 6$
13:
$3f = {3}^{2} \\ 3f = 9 \\ \frac{3f}{3} = \frac{9}{3} \\ f = 3$
15:
$3h = 9 + 10 \\ 3h = 19 \\ \frac{3h}{3} = \frac{19}{3} \\ h = 6.3$
16:
$3f = 27 - 21 \\ 3f = 6 \\ \frac{3f}{3} = \frac{6}{3} \\ f = 2$

6 0

4 years ago