Solve a problem of your own!
Download the Studdy App!

Math

Math Snap

PROBLEM

Combine the logarithms: logcq+logcr\log_{c} q + \log_{c} r as a single logarithm.

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 logbmn=logbm+logbn\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.

SOLUTION

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

Was this helpful?
banner

Start understanding anything

Get started now for free.

OverviewParentsContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord