Let's see if you can answer these ones. I'll give the first person with the right answers, 10 points!?

Question

Solve:
4e^(x)-3=9

Find the domain and range:
y=3^(x)+5

simplify:
log100^(2x-1)

Good Luck!!!

first of all, for all the smart allicks, I already had the answers, and second of all only answer if you are attempting to get a right answer if you know what you are doing! Thanks to those that tried!

Pi R Squared is the first to give me the answer, so you'll get the points!

Answer 1

Hi,

Solve:
4e^(x) - 3 = 9 Add 3

4e^(x) = 12 Divide by 4.

e^(x) = 3 Take the ln of both sides. ln(e^x) is just x.
ln[e^(x)] = ln 3
x = ln 3
x = 1.0986

If you check, 4e^1.0986 - 3 = 8.999852537, which is 9 except for rounding error.


Find the domain and range:
y=3^(x) + 5 For this problem any value of x can be substituted and calculated, so all real numbers work. Therefore the domain is all Real numbers. The range is y > 5, because 3^x is an exponential function that is always positive so the range is the constant 5 plus more. Therefore the range is y > 5.


Simplify:
log100^(2x-1) is really the same as

log[(10)^2]^(2x-1) = log(10)^2(2x-1) = log(10)^(4x-2)

Since the base of this log is 10, that means the exponent of 10 is the logarithm so:

log(10)^(4x-2) = 4x - 2

4x - 2 is your simplified answer.


I hope those help!! :-)

Answer 2

1. Collecting terms and simplifying, e^x = 3
x is about 1.2
2. Domain refers to x, which can take any real value. The range is greater than 5.

3. This can be rewritten as (2x-1) log 100. Since log 100 is 2, the simplified version is 4x-2

Answer 3

4e^x - 3 = 9
4e^x = 12
e^x = 3
x = ln(3) - (that's the answer, if you need me to go get my calculator to get a numerical approximation I will though)

y = 3^x + 5
domain -> (-infinity, infinity)
range -> (5, infinity)

log(100^(2x-1)) = (2x-1)log(100) = (2x-1)(2) = 4x-2

how'd i do?

Answer 4

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Answer 5

x = ln 3

domain all real numbers

4x-2

Answer 6

I'll give you 10 points???

Woww!!!

Aren't we the lucky ones.

Answer 7

Do you own homework. No wonder the American education system is in the shitter.

Answer 8

what does ^ mean and what variable am i solving for on the first question

Answer 9

x = .477

domain: all x values
range: y >= 5

4x-2

EDIT: Sorry, x = 1.1