You can put this solution on YOUR website! in general if you have a statement: log[b](b^x), where [b] is the base of the log. This statement is equivalent to x*log[b](b), now the second part, log[b](b) is asking b^? = b. obviously ?=1 meaning b^1=b. so the second part simplifies to 1, and so log[b](b^x) = x*log[b](b) = x*1 = x.
In your particular problem x = -.38 and b = 4
I think this explanation might be a little better:
Once you understand what actually means, you will
find this trivial.
is defined as the answer to the question
"To what power (exponent) must B be raised to give A?"
Examples
is defined as the answer to the question
"To what power (exponent) must 5 be raised to give 25?"
The answer to that is 2, because if 5 is raised to the power of 2,
that will 25.
So we write
-----
is defined as the answer to the question
"To what power (exponent) must 3 be raised to give 81?"
The answer to that is 4, because if 3 is raised to the power of 4,
that will 81.
So we write
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Now your problem:
is defined as the answer to the question
"To what exponent must 4 be raised to give 4-.38?"
The answer to that is -.38, because if 4 is raised to the power of -.38,
that will give 4-.38"
So we write
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In general, we write because the power to which B must
be raised to give BC is obviously C.
Edwin
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