Removing logs from equation I have a simple question that I need clarification on: If log

Karina Trujillo

Karina Trujillo

Answered question

2022-06-13

Removing logs from equation
I have a simple question that I need clarification on:
If
log ( a ) = log ( b ) + c
is it true that
a = b + exp ( c )
Is this correct or am I missing something really basic that I cant remember from maths class?

Answer & Explanation

Sydnee Villegas

Sydnee Villegas

Beginner2022-06-14Added 22 answers

You’re missing something, namely, one of the laws of exponents: if log a = log b + c, where these are natural logs, then
a = e log a = e log b + c = e log b e c = b e c .
(If they are common logs, with base 10 rather than e, replace every e by 10.)
Dale Tate

Dale Tate

Beginner2022-06-15Added 5 answers

HINT:
Assuming the base to be b we can write c = log b b c
Use log A + log B = log A B and for real C , D
log b C = log b D C = D

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