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Algebra II

Simplify a logarithm function
$2 \log \sqrt[4]{10} - \ln e^{- 7} + \log_{9} \sqrt{3}$
I want to simplify this function. I believe that $2 \log \sqrt[4]{10}$ can become $\log \sqrt{10}$ but now I'm stuck.
Is it possible that ${\ln e}^{- 7}$ can be just $- 7$ ?

valentina krasniqi2022-04-30

problem 1)4e^2x+10=18
problem 2)27^n+1=(⅓)^4n-1
problem 3)The population of a town is increasing at a rate of 4.5% per year. The city council believes it
will have to add another school when the population reaches 150,000 people. Currently, there are
50,000 people living in this town. How long will it be before they need to build this school to the
nearest tenth of a year? Solve algebraically using logarithms.
PLEASE HELP MEE PLEASEE

Magdalena Norton 2022-04-30

Solve for w in the equation $\log_{5} (- 1 - 6 w) = 3$ .

Taliyah Spencer 2022-04-30

Solve for x in the equation $\log_{4} (1 - 2 x) = 4$ .

pettingyg0 2022-04-30

Solve for a in the equation $1 = \log_{3} (1 - 5 a)$ .

Gage Potter 2022-04-30

Solve for y: $\log_{4} (4 - 7 y) = 3$ .

kulisamilhh 2022-04-30

Solve $(2 + 6 i) \times (4 + 4 i) =$ ?

Jordin Olsen 2022-04-30

Solve $(6 + 5 i) \div (7 + 3 i) =$ ?

Kason Chang 2022-04-30

Simplify $\frac{2 + 2 i}{4 + 7 i}$ .

Porter Mccullough 2022-04-30

Find $(6 + 4 i) \times (6 + 4 i) =$ ?

broggesy9 2022-04-30

Simple log inequality (CAL 1)
I am an amateur when it comes to math. I am currently taking CAL 1 and have a question about one of my assignments. Any help is appreciated.
Let $g (x) = x^{3} - x^{3} - 2 x$ and $f (x) = \ln (g (x))$ I have to find the domain of $y = f (x)$ I've figured out that when I do $x^{3} - x^{2} - 2 x > 0$ I end up with $0, 2, - 1 .$
But I'm still not sure what the domain is.... maybe I'm close? maybe it's obvious? Any help much appreciated!!!
Thanks.

Gage Potter 2022-04-30

Problems with the number 0
Here is the original formula:
$\frac{256}{2^{x}} = y$
In order to solve for x, I've done this:
$\log_{2} (\frac{256}{y}) = x$
The problem is that y can be zero. What should I do to solve for x?

Dereon Guzman 2022-04-29

Limit $lim_{x \Rightarrow \infty} x - x^{2} \ln (1 + \frac{1}{x})$

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Algebra II

Simplify a logarithm function
$2 \log \sqrt[4]{10} - \ln e^{- 7} + \log_{9} \sqrt{3}$
I want to simplify this function. I believe that $2 \log \sqrt[4]{10}$ can become $\log \sqrt{10}$ but now I'm stuck.
Is it possible that ${\ln e}^{- 7}$ can be just $- 7$ ?

Solve for w in the equation $\log_{5} (- 1 - 6 w) = 3$ .

Solve for x in the equation $\log_{4} (1 - 2 x) = 4$ .

Solve for a in the equation $1 = \log_{3} (1 - 5 a)$ .

Solve for y: $\log_{4} (4 - 7 y) = 3$ .

Solve $(2 + 6 i) \times (4 + 4 i) =$ ?

Solve $(6 + 5 i) \div (7 + 3 i) =$ ?

What is 7+2i divided by 5+2i?

What is 7+4i divided by 5+3i?

Simplify $\frac{2 + 2 i}{4 + 7 i}$ .

What is 54 divided by 6?

What is 63 divided by 7?

Evaluate $21 \div 7$ =?

What is 15 divided by 5?

Solve for x: 7-7x=0.

Find $(6 + 4 i) \times (6 + 4 i) =$ ?

Problems with the number 0
Here is the original formula:
$\frac{256}{2^{x}} = y$
In order to solve for x, I've done this:
$\log_{2} (\frac{256}{y}) = x$
The problem is that y can be zero. What should I do to solve for x?

Limit $lim_{x \Rightarrow \infty} x - x^{2} \ln (1 + \frac{1}{x})$

Expert Answers to Algebra 2 Problems