We Make Solving Algebra 2 Problems and Answers Easy!

High School
Algebra
Algebra II

Let $x_{0} > x_{1} > x_{2} > x_{3}$ be any positive real numbers . What is the largest value of the real number k such that..
$\log \frac{x_{0}}{x_{1}} 1993 + \log \frac{x_{1}}{x_{2}} 1993 + \log \frac{x_{2}}{x_{3}} 1993 \geq k \log \frac{\log x_{0}}{x_{3}} 1993$
How to solve such problems, please suggest thanks....

Flakqfqbq 2022-05-20

Solve the equation 23v+16=-10.

Derick Richard 2022-05-20

Find the value of x such that -22x-18=5-11x.

Damion Hardin 2022-05-20

Find the value of n such that -13n-4=5n+6.

zuzogiecwu 2022-05-20

What is the value of y such that -4y-3=10y+7?

fetsBedscurce4why1 2022-05-20

Calculate the value of u such that 16u equals 12.

Adelyn Rodriguez 2022-05-20

Calculate $(\frac{4}{3} + \frac{4 i}{9}) - (2 + 12 i)$ .

velinariojepvg 2022-05-20

Simplify: $(\frac{3}{2} + \frac{9 i}{2}) - (5 + 10 i)$ .

Ashley Fritz 2022-05-20

Calculate $(9 + \frac{3 i}{4}) + (\frac{2}{3} + 7 i)$ .

vulkanere64t6 2022-05-20

Compute $(15 + \frac{4 i}{3}) + (\frac{1}{7} + 5 i)$ .

hard12bb30crg 2022-05-20

Calculate $(\frac{9}{10} + 3 i) + (17 + \frac{9 i}{7})$ .

Alaina Holt 2022-05-20

Compute $(\frac{5}{3} + \frac{17 i}{5}) + (6 + 17 i)$ .

kazue72949lard 2022-05-20

Sum $7 + \frac{7 i}{3}$ and $\frac{12}{7} + 6 i$ .

et1wdwk4o 2022-05-20

Calculate $(\frac{14}{11} + 6 i) + (6 + \frac{4 i}{9})$ .

Ryan Reynolds 2022-05-20

Assuming that $\frac{a}{b} < \frac{c}{d} < 1$ , arrange $\frac{b}{a}$ , $\frac{d}{c}$ , $\frac{b d}{a c}$ , $\frac{b + d}{a + c}$ , and 1
My attempt
I've been able to get three of them in position ,namely
$\frac{b d}{a c} > \frac{b}{a} > \frac{d}{c} > 1$
since it's given that $\frac{a}{b} < \frac{c}{d}$ from which I have that $\frac{b}{a} > \frac{d}{c}$
and since $\frac{b}{a}, \frac{d}{c} > 1$ I have that $\frac{b d}{a c} > \frac{b}{a} > \frac{d}{c} > 1$
Now I am kind of clueless on how to tackle the expression $\frac{b + d}{a + c}$ ,as I don't see how I can get this by manipulating any of the given relations.

skottyrottenmf 2022-05-19

Logarithm Problem : Find the number of real solutions of the equation
$2 \log_{2} \log_{2} x + \log_{\frac{1}{2}} \log_{2} (2 \sqrt{2} x) = 1$
My approach :
Solution : Here right hand side is constant term so convert it into log of same base as L.H.S. therefore, 1 can be written as $\log_{2} \log_{2} 4$
$⟹ 2 \log_{2} \log_{2} x + \log_{\frac{1}{2}} \log_{2} (2 \sqrt{2} x) = \log_{2} \log_{2} 4$ $⟹ \log_{2} \log_{2} x^{2} - \log_{2} \log_{2} (2 \sqrt{2} x) = \log_{2} \log_{2} 4$
$⟹ \log_{2} \frac{\log_{2} x^{2}}{\log_{2} (2 \sqrt{2} x)} = \log_{2} \log_{2} 4$
$⟹ \frac{\log_{2} x^{2}}{\log_{2} (2 \sqrt{2} x)} = \log_{2} 4$
Please suggest whether is it the right approach... thanks...

Kellen Perkins 2022-05-19

Solve for: $8 \log_{4} \sqrt{x^{2} - 9} + 3 \sqrt{2 \log_{4} {(x + 3)}^{2}} = 10 + \log_{2} {(x - 3)}^{2}$
My try:
$8 \log_{4} \sqrt{x^{2} - 9} + 3 \sqrt{2 \log_{4} {(x + 3)}^{2}} = 10 + \log_{2} {(x - 3)}^{2} \Leftrightarrow \log_{2} {(x^{2} - 9)}^{2} + 3 \sqrt{\log_{2} {(x + 3)}^{2}} = 10 + \log_{2} {(x - 3)}^{2} \Leftrightarrow \log_{2} {(x - 3)}^{2} + \log_{2} {(x + 3)}^{2} + 3 \sqrt{\log_{2} {(x + 3)}^{2}} - 10 - \log_{2} {(x - 3)}^{2} = 0 \Leftrightarrow \log_{2} {(x + 3)}^{2} + 3 \sqrt{\log_{2} {(x + 3)}^{2}} - 10 = 0$
But I don't know Conditions defined for this math? Could you help me please?

The majority of Algebra 2 homework will be almost the same for college students these days since the only changes will relate to a practical application like business solutions, financial challenges, and certain problems where formulas and concepts are applicable. Looking for Algebra 2 answers, you will find some solutions below that are most likely to answer your Algebra 2 problems and answers. If you’re a high-school learner, there are Algebra 2 questions for you as well with provided solutions. The most important is to share your instructions and read through examples that address various Algebra 2 questions and answers.

Algebra II