Determine whether the equation is true or false. Where​ possible, show work to support your conclusion. If the statement is​ false, make the necessary​ change(s) to produce a true statement.
log(x+3)-log(8x)=log(x+3)/log(8x)
if false make necessary changes to produce a true statement


Answer :

Use of identity:

  • [tex]log_a\ (b) - log_a\ (c)=log_a\ (b/c)[/tex]

When it is applied to given it should be:

  • [tex]log\ (x+3)-log\ (8x)=log\ [(x+3)/(8x)][/tex]

So the RHS of the given equation is incorrect.

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