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)]
3
The equation you use to find the average rate of change, or slope, is
To find the number halfway between 60 and 75, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 60 and 75 into our formula, we get:
(60 + 75)/2 = 67.5
Thus, the number halfway between 60 and 75 is 67.5.