Write the expression as a single logarithm. \log_3 40-\log_3 10

Paganellash

Paganellash

Answered question

2021-11-14

Write the expression as a single logarithm.
log340log310

Answer & Explanation

William Yazzie

William Yazzie

Beginner2021-11-15Added 20 answers

Given expression
log340log310
Since, logba=logalogb
Hence, log340=log40log3
log310=log10log3
Simplifying the expression
log340log310=log40log3log10log3
=1log3(log40log10)
Since, logclogd=log(cd)
Hence
log40log10=log(4010)
=log4
Then, log340log310=1log3×log4
=log34

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