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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Transcendental Expression
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,