Studdy AI Logo
Math

QuestionCombine the logarithms: log⁡cq+log⁡cr\log_{c} q + \log_{c} r as a single logarithm.

Studdy Solution

STEP 1

Assumptions1. The base of the logarithms is c. . The arguments of the logarithms are q and r.
3. We are using the logarithmic property log⁡bmn=log⁡bm+log⁡bn\log_b{mn} = \log_b{m} + \log_b{n}, which holds for any positive real numbers m and n, and any real number b ≠1.

STEP 2

We can use the logarithmic property to combine the two logarithms into a single logarithm.
log⁡cq+log⁡cr=log⁡c(qr)\log{c} q+\log{c} r = \log{c} (qr)This is the single logarithm expression for log⁡cq+log⁡cr\log{c} q+\log{c} r.

Was this helpful?

Studdy solves anything!

banner

Start learning now

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

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord