Question

solve \\(\ln(x + 1) = 1\\).

a) \\(x = e - 1\\)
b) \\(x = e\\)
c) \\(x = e + 1\\)
d) \\(x = e^2\\)

question 13 (5 points)
solve \\(\log_2(x + 5) + \log_2(x - 5) = \log_2 11\\).

a) \\(x = 30\\)
b) \\(x = -25\\)
c) \\(x = 6\\)
d) \\(x = 36\\)

question 14 (5 points)
what is the solution to the equation \\(16^{2x - 3} \cdot 4^{-2x} = 4^2\\)?

a) \\(x = 4\\)
b) \\(x = -4\\)
c) \\(x = 1\\)
d) \\(x = 2\\)

Explanation:

Solve the natural logarithmic equation

$$
LATEXBLOCK0
$$

Solve the logarithmic equation with base 2

$$
LATEXBLOCK1
$$

Solve the exponential equation

$$
LATEXBLOCK2
$$

Answer:

Question 1

• (A) \(x = e - 1\) (Correct answer)
• (B) \(x = e\)
• (C) \(x = e + 1\)
• (D) \(x = e^2\)

Question 13

• (A) \(x = 30\)
• (B) \(x = -25\)
• (C) \(x = 6\) (Correct answer)
• (D) \(x = 36\)

Question 14

• (A) \(x = 4\) (Correct answer)
• (B) \(x = -4\)
• (C) \(x = 1\)
• (D) \(x = 2\)