2) 3 log5a + logsb

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
100%
Use the laws of logarithms to condense each expression as single logarithm. State the law/s of logarithm used.
ach expression as a singl
2) 3 log5a + loggb
Transcribed Image Text:ach expression as a singl 2) 3 log5a + loggb
WEALTH SCIENCES
Tanauan City. Batangas
d) log12 12
Us
wi
log12 12 = 1
* Using Property 2
1.
* Laws of Logarithm
Let b > 0, b # 1 and let y E R. For x > 0, y> 0,
then
1. log, (xy) = log, x + log, y
2. log, () = log, x - log, y
3. log, x = y log, x
4. If log, x = log, y then x = y.
cample 7. Use the laws of logarithm to expa
ch expression in terms of the logarithms of
Transcribed Image Text:WEALTH SCIENCES Tanauan City. Batangas d) log12 12 Us wi log12 12 = 1 * Using Property 2 1. * Laws of Logarithm Let b > 0, b # 1 and let y E R. For x > 0, y> 0, then 1. log, (xy) = log, x + log, y 2. log, () = log, x - log, y 3. log, x = y log, x 4. If log, x = log, y then x = y. cample 7. Use the laws of logarithm to expa ch expression in terms of the logarithms of
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