Order these fractions from least to greatest.
1/4, -3/7, 1/2

-3/7, 1/4, 1/2

Step-by-step explanation:

Let's do this one step at a time: first, we know negative numbers are always smaller than positive numbers. So -3/7 must be the least.

Next, we are between 1/4 and 1/2. If we get a least common denominator for them, multiplying 1/2 by 2, we get 1/4 and 2/4. 2/4 > 1/4. A rule of thumb here is

If the denominators are the same, whichever number has a higher numerator is larger.

If the numerators are the same, whichever number has a lower denominator is larger.

h df tyjgtyj ttd y ytkgfty ty

step-by-step explanation:

tyty jry j y yj yttj yhgtyj y ghyj ytthj

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: