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Solve the following logarithms and find X. 1) log, 36 = X 2) log, 1 = X 3) log 10 = X 4) log X= -1 5) logx 49 = 2

Solve the following logarithms and find X. 1) log, 36 = X 2) log, 1 = X 3) log 10 = X 4) log X= -1 5) logx 49 = 2

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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Solve the following logarithms and find X. 1) log6 36 = X 2) log6 1 = X 3) log 10 = X 4) log X= -1 5) logx 49 = 2
Transcribed Image Text:Solve the following logarithms and find X. 1) log6 36 = X 2) log6 1 = X 3) log 10 = X 4) log X= -1 5) logx 49 = 2
Expert Solution
Step 1

Here we will use the formulas as

logaa = 1log ab = b loga

 

1)

log636 = Xlog6(6)2 = X2 log66 = X2(1) = XX = 2

 

2)

log61 = Xlog6(6)0 = X0 log66 = X0(1) = XX = 0

 

3) If log a = b , then a = 10b as log is always of base 10

log 10 = X10 = 10XX = 1

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