Evaluate the given expressions (to two decimal places).(a) log 15.1(b) log2 512(c) log8 1(d) log 0.038

Answered: aluate the given expressions (to two…

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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Question

Evaluate the given expressions (to two decimal places).

(a)

log 15.1

(b)

log₂ 512

(c)

log₈ 1

(d)

log 0.038

Expert Solution

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Logaritham:

Logarithms, typically referred to as logs, a unique sort of expressing exponents which will be accustomed to solving issues that can't be resolved with merely exponents. an acquaintance is employed to outline a power.

$b^{x} = a \Leftrightarrow x = \log_{b} a$

"Logarithm of a to the bottom b equals x" is written on the correct aspect of the arrow.