Removing logs from equationI 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?

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Removing logs from equationI 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?

Sydnee Villegas · Accepted Answer

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 · Accepted Answer

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

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

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