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Algebra II

$\frac{1}{2}$ of $10 .$ How to solve it $?$

How to express a sum of logarithms for $\log_{5} (125 \cdot 25)$ ?

How to simplify $7 \log_{3} k + 6 \log_{3} m - 9 \log_{3} n$ ?

How to use the Change of Base Formula and a calculator to evaluate the logarithm $\log_{2} 1$ ?

How to evaluate $e^{I n 8}$ ?

What is $\log_{b} b^{x}$ ?

Prove that: $1 + 2 + 3 + . . . . . . . . . + n = \frac{n (n + 1)}{2}$ i.e., the sum of the first n natural numbers is $\frac{n (n + 1)}{2}$ .

Prove that $\frac{0.85 \times 0.85 \times 0.85 + 0.15 \times 0.15 \times 0.15}{0.85 \times 0.85 - 0.85 \times 0.15 + 0.15 \times 0.15} = 1$ .

There are 86,400 seconds in a day. How many days long is a second?
$A) 1.157 \times 10^{- 6}$
$B) 1.234 \times 10^{- 5}$
$C) 1.157 \times 10^{- 5}$
$D) 1.432 \times 10^{- 4}$

Which among the following is (are) complex number(s) ?
pi
0
3+2i
sqrt −7

2 ^ (2x + 1) = 6(2 ^ x)

What does the quotient rule of exponents say?

How to find zeros of cubic polynomial?

Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?
A)24
B)32
C)54
D)32
E)48

How to simplify $\frac{2 + i}{1 - i}$ completely?

What is the expanded form of $100$ ?

How to use the Change of Base Formula and a calculator to evaluate $\log_{6} 14$ ?

How many two digit natural numbers are multiples of 7?

How to express as a single logarithm & simplify $(\frac{1}{2}) \log_{a} \cdot x + 4 \log_{a} \cdot y - 3 \log_{a} \cdot x$ ?

Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = -4 x intercepts at x = -6 and x = 4 Horizontal asymptote at y = 9?

Expert Answers to Algebra 2 Problems