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lakkis [162]
3 years ago
14

How to use exponents instead of logs

Mathematics
2 answers:
padilas [110]3 years ago
5 0

x=2/3the answer is helpful for you

PSYCHO15rus [73]3 years ago
3 0

Answer:

Convert into same base

Step-by-step explanation:

Convert both sides into same bases and equate the powers to solve for the variable.

Example:

8^x = 32

You can either use logs to bring the power down or convert both sides into the same base

8 = 2³

8^x = (2³)^x = 2^(3x)

32 = 2⁵

2^(3x) = 2⁵

3x = 5

x = 5/3

x = 1⅔

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The population of a town in 2007 is 113, 505
ELEN [110]

from 2007 to 2012 is only 5 years, so we can see this as a compound interest with a rate of 1.2% per annum for 5 years, so

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$113505\\ r=rate\to 1.2\%\to \frac{1.2}{100}\dotfill &0.012\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=113505\left(1+\frac{0.012}{1}\right)^{1\cdot 5}\implies A=113505(1.012)^5\implies A\approx 120481

7 0
1 year ago
Evaluate.4 2 – 6+2 +3 =
Charra [1.4K]
4^2-6\text{ / 2 + 3 = ?}4^2\text{ - }\frac{6}{2}\text{ + 3 = ? }\Rightarrow\text{ 16 - 3 + 3 = ?}

16 - 3 + 3 = 16

3 0
1 year ago
A theater group is made up of 21 girls and 24 boys. Fifteen of the girls and 12 of the boys are also in a photography club.
bekas [8.4K]

Answer:

60%

Step-by-step explanation:

There are a total of 45 people 24 boys and 21 girl=45

27 of them are in the club 27 out of 45=60%

4 0
2 years ago
Can someone please help me.
Art [367]

I will give you everything I can do:

11)

Lets say Car A travels at x mph. That means Car B travels at x+2 mph.

Both of them are traveling towards each others, so we can say the total speed is 2x+2.

Now i takes 3 hrs and we know the distance.

Since R*T=D

Then 3(2x+2)=270

So 2x+2=90

2x=88

x=44

12)

To find perpendicular we want to find the opposite reciprocal of the original slope. Therefore the slope is 3/2.

Now we must find the equation of the line with the given variable.

First find b.

5=3/2*4+b

b = -1

So the equation of this line is:

y=3/2x-1

13) All work will be shown below.

6-3(-2-4x)=2(3(x-4)+7)

6+6+12x=2(3x-12+7)

12+12x=2(3x-5)

12+12x=6x-10

6x=-2

x = -1/3

14)

First we must find the amount each train traveled.

The speed of F train(Freight train)=x

The speed of P train(passenger train)=x+6

Their combined speed is 2x+6

It takes 2 hrs to cover 100 miles

So 2(2x+6)=100

2x+6=50

2x=44

x=22

So the freight train covered 44 miles and the passenger train covered 56 miles.

To find average speed you must do Total Distance/Total Time.

44/2 and 56/2

Which are 22 and 28.

The average speed of F train is 22 mph and average speed of P train is 28 mph.

15) Again opposite reciprocal.

3/5 -> -5/3

Work:

-4=-3*-5/3+b

-4=5+b

b=-9

y = -5/3x-9

16)

F=kx-kx0

First kx0 = 0

So F=kx

So x=F/k

4 0
3 years ago
Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets
nydimaria [60]
"The mean study time of students in Class B is less than students in Class A" is the statement among the following choices given in the question that is true for the data sets. The correct option among all the options that are given in the question is the second option or option "B". I hope the answer helped you.
3 0
3 years ago
Read 2 more answers
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