QuestionExpress as a sum of logarithms. $\log _{7}(10 \cdot 15)$

Studdy Solution

STEP 1

1. The expression involves a logarithm of a product.
2. We can use the properties of logarithms to express the logarithm of a product as a sum of logarithms.

STEP 2

1. Apply the logarithm product rule to express the given logarithm as a sum of two logarithms.

STEP 3

Recall the logarithm product rule, which states that:
$\log_b(x \cdot y) = \log_b(x) + \log_b(y)$
Apply this rule to the given expression:
$\log_{7}(10 \cdot 15) = \log_{7}(10) + \log_{7}(15)$
The expression $\log_{7}(10 \cdot 15)$ is now expressed as a sum of logarithms:
$\log_{7}(10) + \log_{7}(15)$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms