You can
put this solution on YOUR website!this says:
because logarithms are inverse of exponents, this formula can only be true if and only if...
which should be the same as:
since
= 25, this becomes:
(1/25) = x
The answer should be (1/25)
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to prove this is true, substitute (1/25) for x and solve.
is the same as:
to solve using your calculator, you can convert the base 5 to the base 10 or to the natural log base.
let's try the base 10.
= 0/.698..... = 0
= 2
so...
which is true,
so x = (1/25) is a good answer.
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another way to prove it is to convert back to exponents by taking the inverse.
we start off with:
this is true if and only if:
we'll cheat this time by using the calculator.
.04 is the same as .04/1
multiply numerator and denominator by 25 (doesn't change the fraction), and we get
(.04*25)/(1*25) = (1/25), which is the answer we are looking for.
bottom line:
x = (1/25)
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