We have that
<span>Log3 a/3
</span>Rewrite log3(a/3) using the change of base <span>formula
we know that
</span>The change of base rule can be used if a and b are greater than 0 and not equal to 1, and x is greater than 0<span>.
</span>so
loga(x)=<span>logb(x)/<span>logb<span>(a)
</span></span></span>Substitute in values for the variables in the change of base <span>formula
</span>
in this problem
b=10
a=3
x=a/3
log3(a/3)=[log (a/3)]/[log (3)]
the answer is
[log (a/3)]/[log (3)]
For this case we must simplify the following expression:
We solve the operation of the second parenthesis, taking into account that different signs are subtracted and the sign of the major is placed:
We multiply:
We eliminate the parentheses:
We add similar terms, taking into account that equal signs are added and the same sign is placed:
Answer:
The simplified expression is:
Yes you can simplify an improper fraction
The answer is
D.1
because even though there is not a number in front of X, we are to assume it is 1.
