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Evaluate the following without using a calculator (show work!): 6. log1/3 81 7. log36 6

Evaluate the following without using a calculator (show work!): 6. log1/3 81 7. log36 6

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please help with #6 and #7
Evaluate the following without using a calculator (show work!): 6. log1/3 81 7. log36 6
Transcribed Image Text:Evaluate the following without using a calculator (show work!): 6. log1/3 81 7. log36 6
Expert Solution
Step 1

6 Given expression is log1381.

We have to evaluate the given expression.

Apply log rule, log1ax=−logax

Hence,

log1381=−log381=−log334=−4log33Use property logmn=nlogm=−4×1Since, log33=1=−4

Hence, log1381=−4.

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