MATHEMATICS HIGH SCHOOL

Which of the following equations is equivalent to y=2^x?y = log2x
x = log2y
y = logx2

Answers

Answer 1

Answer: Hello,

$y=2^(x)$
==> $log_(2)(y) =x*log_(2)(2)$
==> $log_(2)(y) =x*1$
==> $x=log_(2)(y)$

Answer B

Answer 2

Answer:

Answer:

B, second part is X=20

Step-by-step explanation:

Related Questions

Write the ratio in its simplest form. 1.4/7
Solve using the Square-Root (x-3)²-49=0
What is the reciprocal of 2/5
Use Gauss-Jordan elimination to solve the following linear system.x – 6y – 3z = 4 –2x – 3z = –8 –2x + 2y – 3z = –14
Given the trinomial, what is the value of the coefficient 'B' in the factored form?2x2 − 12xy − 32y2 = 2(x − 8y)(x + By) B= ____________ Numerical Answers Expected!

Expand the logarithmic expression log(8) a/2

Answers

$log _(8) (a)/(2) = \n log _(8)a - log_(8) 2 = \n log _(8)a - (1)/(3)log _(2)2= \n log _(8)a - (1)/(3)$

Final answer:

The given logarithmic expression log(8a/2) can be expanded as 2 log 2 + log a by using the properties of logarithms.

Explanation:

The question is asking to expand the logarithmic expression log(8a/2). The properties of logarithms can be applied in order to simplify it. There are two key properties that will be used. First, the logarithm of a product of two numbers is the sum of the logarithms of the two numbers, which can be represented as log xy = log x + log y. Second, the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers, represented as log (a/b) = log a - log b.

With these properties in mind, we can start simplifying the given logarithmic expression. The expression log(8a/2) can be represented as log 8 + log a - log 2. Simplifying further, we get log 2^3 + log a - log 2, which simplifies further to 3 log 2 + log a - log 2. Simplifying one more step gives 2 log 2 + log a.

Learn more about Logarithm Expansion here:

brainly.com/question/37287488

#SPJ6

Mary and her family ordered a large pizza for dinner. Half of the pizza is plain and half of the pizza has pepperoni. Mary loves pepperoni so she ate 1/5 of the full pizza (all of which had pepperoni). How much of the remaining full pizza has pepperoni?

Answers

Answer:

3/10 of the renaming full pizza has pepperoni

Step-by-step explanation:

Here, we want to calculate how much of the remaining pizza had pepperoni.

From the question, 1/2 has pepperoni and 1/2 is plain without pepperoni

she eats 1/5 of the pizza having pepperoni, this means that she is actually left with some parts is the half having pepperoni

The actual of the half remaining with pepperoni will be 1/2 - 1/5 = 3/10

This means that 3/10 of the remaining full pizza has pepperoni

A car traveling at a constant speed for 150km in 7200s, what is its speed?

Answers

75 km/hr, so in other words 75 km per hour.

7200 s / 60 = 120 min
120 min / 60 =2 hr
so 150 km / 2 hr = 75 km per hour.Hope i helped :)

Th sum of the cost of dinner d a $12 tip divided equally between 3 people

Answers

12 / 3 so the answer would be 4

a family buys a car for $20,000. the value of the car decreases about 20% each year. after 6 years, the family decides to sell the car. should they sell it for $4000?

Answers

actually heres the breakdown...
year 1 20,000
year 2 decreased 20% is 16,666
year 3 decreased 20% is 13,888
year 4 decreased 20% is 11,574
year 5 decreased 20% is 9,645
year 6 decreased 20% is 8,037
so selling it for $4000 is a major loss on their end so they should NOT sell at that price.

No, the car is losing value not gaining it.

What times 4 gives you 21