SOLUTION: Please help. Thank You Show by using the properties of logarithms whether or not the following equation is true. CLEARLY show a well thought out process. Then circle your answer

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Question 1058794: Please help. Thank You
Show by using the properties of logarithms whether or not the following equation is true. CLEARLY show a well thought out process. Then circle your answer (TRUE or FALSE).
Log 49/Log 49=Log 49 - Log 49

Found 2 solutions by ikleyn, jim_thompson5910:
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
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False.
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The left side is equal to 1, while the right side is equal to zero.

You do NO need any properties of logarithms to establish this fact.

It is true for any real number different from zero:

x%2Fx =/= x - x

due to the same reason:

The left side is equal to 1, while the right side is equal to zero.


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = log(49)

We don't know the value of x in terms of decimal form, but we don't need to know it. The original equation turns into this

x/x = x-x

after replacing every copy of "log(49)" with "x".

On the the left side, the x/x turns into 1 because any number (except 0) divided by itself is always 1. The right side x-x turns into 0x which is just 0.

So x/x = x-x turns into 1 = 0 which is ALWAYS FALSE. The number 1 and the number 0 are two different numbers so they can never be equal (ie the same).

So the final answer is FALSE