How to solve logarithms

B) y = log2 (4" - 4)<br> find the inverse of this equation

GuDViN [60]

Answer:

$y = \frac{1}{4} \times {2}^{x} - 1$

Step-by-step explanation:

Assuming the given logarithmic equation is

$y = \log_{2}( {4}{x } - 4)$

We interchange x and y to get:

$x= \log_{2}( {4}{y} - 4)$

We solve for y now:

${2}^{x} = {4}{y} - 4$

We add 4 to both sides to get;

${2}^{x} + 4 = 4y$

Divide through by 4:

$y = \frac{1}{4} \times {2}^{x} - 1$

4 0

3 years ago

A game at the school carnival involves drawing colored marbles out of a bag for a prize. If you draw a red or blue marble, you w

mina [271]

All up there are 20 marbles and only 6 of those are chances of winning so we make it into a fraction 6/20 then times 20 by five to get to 100 (what ever we do to the bottom we do to the top) times 6 by five giving you a fraction of 30/100 then divide 30 by 100 giving you 0.30 ANSWER EQUALS = 0.30

4 0

3 years ago

30 pts AWNSER ASAP In 2 hours, Nolan can bake 5 1/2 dozen cookies. What is his unit rate in dozen cookies per hour?

seraphim [82]

Answer:

2 3/4 dozen cookies per hour

Step-by-step explanation:

To find his unit rate per hour, divide 5 1/2 by 2:

5.5/2

= 2.75 or 2 3/4 dozen cookies

So, his unit rate in dozen cookies per hour is 2 3/4

6 0

3 years ago

NEED HELP IN Algebra 2

olganol [36]

Answer:

1) According to your choices, 3.

2) The other two points must be critical points/undefined (imaginary according to your choices)

3) Synthetic division

4) I don't see why the quadratic formula is a choice, but it's the last remaining option.

5 0

2 years ago

Read 2 more answers

Which of the following conditions must be met in order to make a statistical inference about a population based on a sample

klasskru [66]

Answer:

For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

$\bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})$

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

Step-by-step explanation:

For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

$\bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})$

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

7 0

3 years ago