Question

chapter 5: 5.4-5.6
score: 0/25 answered: 0/25
question 1
write the following sum as a single logarithm. assume all variables are positive.

\\(\log_{5}(4) + \log_{5}(y) = \\)

the answer format in lowercase characters is: log_base (number)
spaces in the answer are optional.

Explanation:

Step1: Identify the logarithmic property

Apply the product rule for logarithms.

$$\log_{b}(M) + \log_{b}(N) = \log_{b}(M \cdot N)$$

Step2: Simplify the expression

Multiply the arguments of the logarithms.

$$\log_{5}(4) + \log_{5}(y) = \log_{5}(4 \cdot y) = \log_{5}(4y)$$

Answer:

\(\log_{5}(4y)\)