It’s d, looks like you got it already! With ratios, just pay attention to not only the numbers but order of the words as well, so you can be sure the ratio follows the problem.
I guess this how it would go
<span><span><span>(5)</span><span>(<span>−2</span>)</span></span>−<span><span>(2)</span><span>(<span>−3</span>)</span></span></span>
So your answer should be <span>−4</span>
Use the change-of-basis identity,
to write
Use the product-to-sum identity,
to write
Redistribute the factors on the left side as
and simplify to
Now expand the right side:
Simplify and rewrite using the logarithm properties mentioned earlier.
(C)
To solve this problem, start by plugging in your given n value.
This results in:
k = 100 - 4(60)
Next, simplify the parentheses by multiplying the -4 and the 60 together.
This leaves you with:
k = 100 - 240
To simplify for k, subtract 240 from 100 to get:
k = -140
So your final answer is k = -140 when n = 60
