in a pottery class, a teacher has 2/3 pound of clay for 6 students. If she gives each student a equal amount of clay, how much w
2 answers:
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Answer:
0.540
Step-by-step explanation:
Hi there,
To get started in order to solve this, please recall the property of logarithms.
This question is a bit tricky, but doable. Best way to solve this is first compare the two functions:
Now, let's see what the function gives at 13 and 1:
Something to recognize is that 1 to the power of <em>anything</em> is just 1, so f(1) is reduced to:
We are making progress!
Next, we can set both f(13) forms equivalent to each other, watch this:
but we know what f(1) is equal to, and let's substitute our knowns:
the c constant on both left and right side cancel out:
Now, take the logarithm form of both side of the equation. I used natural log, but you can also use common logs:
⇒
this was performed using <em>the power log rule. </em>
Isolate k:
using a calculator.
If you liked this solution, hit Thanks or give a rating!
thanks,
notice the equations in slope-intercept form, the first one has a slope of -1, the second one has a slope of 1.
if the slopes are equal, and the constant is different, they lines are parallel.
if the slopes are equal, and the constant is the same the equations are exactly the same thing, and the lines are coincident, on slapped on top of the other.
if the slopes differ, like here, then they have a solution, where they intersect.