Question

1. logarithmic applications (f-le.4, f-le.4.3)

the ph of a solution is given by the formula:
\ph = -\logh^+\\

where \\(h^+\\) is the hydrogen ion concentration in moles per liter.
if a solution has a hydrogen ion concentration of \\(3.2 \times 10^{-5}\\), what is its ph?
round your answer to two decimal places.

1. solving logarithmic equations (f-le.4.2, f-bf.4)

solve for x:

a) \\(\log_3(x + 2) = 4\\)

b) \\(\ln(x - 1) = 2\\)

c) \\(2\log_5(x) = 6\\)

Explanation:

Calculate the pH of the solution

$$
LATEXBLOCK0
$$

Solve the logarithmic equation (a)

$$
LATEXBLOCK1
$$

Solve the logarithmic equation (b)

$$
LATEXBLOCK2
$$

Solve the logarithmic equation (c)

$$
LATEXBLOCK3
$$

Answer:

Question 5

\(pH \approx 4.49\)

Question 6

a) \(x = 79\)

b) \(x = e^2 + 1 \approx 8.39\)

c) \(x = 125\)