(C) If a student asked why you can't take the logarithm of a negative number and get a real number, what would you say?

Q: why is e and the natural logarithm, rather than other bases, are used in so many situations

A: We have to explain why is natural logarithm is used more.

Q: If log, 2 = 3, log2 y = 4, and log, z = 5, what is the numerical value of log2

A:

Q: Find a number E such that log (5z + 1) = 2

A: The solution is given below.

Q: a) log 81 1 b) logs 2 1 +3log, 2-log, 16² c) log 3/256

A:

Q: 4 100 10gs +log, 100 O a. -4 O b. 2 O c. 0 O d. 4 寸

A: We can find the answer as below.

Q: e. If log„(1944) = log, (486v2), find the values of n³.

A: log2n(1944) = logn(486√2) log1944/log2n = log(486√2)/logn (log1944)*log(n) = (log2 +…

Q: Brainstorm as a pair and decide how exponents and logarithms can be used to approximate the -21/3…

A: we need to use the log or exponential properties to approximate the result.

Q: 5ª = 24

A:

Q: If log A = 4.04 and log B = 1.53, what is the value of log hundredth? Answer: to the nearest

A:

Q: (a) If log, 64 = 3, then x = (b) If log, 256 = 4, then x =

A: alogb=logba logab=logbloga

Q: Before the invention of calculators, logarithms took much longer to evaluate. (Think of the older…

A: The given number is 679140 And it is also given that 679140= 22 x 32 x 5 x 73 x 11

Q: 2. Solve the following logarithmic equation or FULLY explain why it is not possible: log(-8)

A: Logarithm of a number is defined as a quantity representing the power to which a fixed number (the…

Q: What kind of number is the number e? It's an irrational number, meaning it cannot be written as a…

A: Rational number: the numbers which can be written in the form of fraction they are known as rational…

Q: Which is larger, 508509 or 514508? These numbers are too large for most calculators to handle. (They…

A: As we know that if y=mn, where m and n are positive numbers.Then lny=n×ln(m)

Q: Which of the following statements is correct? The graph of y = logs r is identical to the graph of y…

A:

Q: Simplify log(60)+log(15)−log(2)−log(2) as a single logarithm

A:

Q: Iflog, (2)=0.4752, log, (3)=0.7532, and log, (11)=1.6440, what is the value of the following…

A: If , then to find the value of .

Q: Assume a > 0. Which of the following is/are NOT equivalent to the expression log, (20x²)? Olog, (2a)…

A: We have the expression: log3(20x2)