Questions: log7 9 + log7 4

log7 9 + log7 4
Transcript text: $\log _{7} 9+\log _{7} 4$
failed

Solution

failed
failed

Solution Steps

Step 1: Apply the Product Rule of Logarithms

The product rule of logarithms states that \(\log_b M + \log_b N = \log_b (M \cdot N)\).

Step 2: Substitute the Given Values

Substitute \(M = 9\) and \(N = 4\) into the product rule: \[ \log_7 9 + \log_7 4 = \log_7 (9 \cdot 4) \]

Step 3: Simplify the Expression

Calculate the product inside the logarithm: \[ \log_7 (9 \cdot 4) = \log_7 36 \]

Final Answer

\( \boxed{\log_7 36} \)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Simplify: 6.0 × 10^-22 / 2.0 × 10^-9 =
failedAnswered
Simplify the following complex rational expression. (x-4)/(x-(4/(x-3))) Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) A. (x-4)/(x-(4/(x-3)))= x neq 3,4 B. (x-4)/(x-(4/(x-3)))= x neq -4,-3,1 C. (x-4)/(x-(4/(x-3)))= , x neq -1,3,4
failedAnswered
Find the unknown quantity in the following percent problem using the formula R * B = A. Round your answer to two decimal places, if necessary. 30% of is 48.
failedAnswered
Which of the following sets of ordered pairs defines a function? a. (6,2),(-9,-3),(2,-2),(3,-7) b. (2,4),(5,-8),(5,-9),(-8,2) Which sets of ordered pairs define a function? A. a and b B. a C. b D. Neither set of ordered pairs defines a function.
failedAnswered
Miguel and Sofia are buying a condominium valued at 168,500. They will finance their home at 6.75% interest for 20 years. If their total monthly payment is 1,554.35 and their annual insurance costs 898, calculate the annual property taxes for their condo.