Write the expression below as a single logarithm in simplest form. log_(b)7+log_(b)9 Answer: log_(b)(◻)

Identify Property: Identify the property used to combine the sum of logarithms. When adding two logarithms with the same base, we can use the product property of logarithms. Product Property: log_b (M) + log_b (N) = log_b (M * N) We will apply this property to combine log_(b)7 and log_(b)9 into a single logarithm.Apply Product Property: Apply the product property to combine log_(b)7 and log_(b)9. Using the product property, we get: log_(b)7 + log_(b)9 = log_(b)(7 * 9) Now, we calculate the product inside the logarithm. 7 * 9 = 63 So, log_(b)7 + log_(b)9 = log_(b)(63)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Write the expression below as a single logarithm in simplest form.

log_(b)7+log_(b)9
Answer:
log_(b)(◻)

Write the expression below as a single logarithm in simplest form. $\newline$ $\log _{b} 7+\log _{b} 9$ $\newline$ Answer: $\log _{b}(\square)$

View step-by-step help

Home

Math Problems

Algebra 2

Quotient property of logarithms

Full solution

Q. Write the expression below as a single logarithm in simplest form.

\newline

\log _{b} 7+\log _{b} 9

\newline

Answer:

\log _{b}(\square)

Identify Property: Identify the property used to combine the sum of logarithms. $\newline$ When adding two logarithms with the same base, we can use the product property of logarithms. $\newline$ Product Property: $\log_b (M) + \log_b (N) = \log_b (M \times N)$ $\newline$ We will apply this property to combine $\log_{b}7$ and $\log_{b}9$ into a single logarithm.
Apply Product Property: Apply the product property to combine $\log_{b}7$ and $\log_{b}9$ . $\newline$ Using the product property, we get: $\newline$ $\log_{b}7 + \log_{b}9 = \log_{b}(7 \times 9)$ $\newline$ Now, we calculate the product inside the logarithm. $\newline$ $7 \times 9 = 63$ $\newline$ So, $\log_{b}7 + \log_{b}9 = \log_{b}(63)$