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Mathematics 21 Online
Ballery1:

new math question

Ballery1:

|dw:1568756401900:dw|

Ballery1:

|dw:1568756438571:dw|

Hero:

How about you show the steps you did to get to the incorrect result?

Ballery1:

is this one of those *what teacher wanna see is the right answer* situation?

Ballery1:

there're no incorrect result..

Ballery1:

i got the right answer but i was just wondering why can't i bring the -x power to the front of the log

Hero:

You can't do that because the rule is \(\log(a^b) = a\log(b)\)

Ballery1:

yes.. i'm following the same rule pal

Hero:

Notice there is not two expressions with a sum in that process to put an x in front of

Hero:

You're applying the rule to an expression that the rule was not meant for

Ballery1:

can you explain \(\color{#0cbb34}{\text{Originally Posted by}}\) @Hero Notice there is not two expressions with a sum in that process to put an x in front of \(\color{#0cbb34}{\text{End of Quote}}\) in simpler terms ?

Hero:

Let me see if I can help you out with a clearer explanation

Ballery1:

can you give me an example ?

Hero:

Here's an example;

Hero:

\(\log(a^b) = b\log(a)\) \(\log(a + b^c)\) = no rule for this

Ballery1:

wait one second.

Hero:

so \(\log(a + b^c)\) cannot be simplified any further

Hero:

Because there is a sum in the argument of the log.

Hero:

There IS a rule for \(\log(a) + \log(b)\)

Hero:

But not \(\log(a + b^c)\)

Ballery1:

|dw:1568757680937:dw|

Hero:

No, you can't because that expression is \(\ln(1 + e^{-x})\) There are other ways to express it to force a rule upon it but there is no rule for it as currently written. And you should learn how to use parentheses properly.

Ballery1:

ight thanks.

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