Answer:
x = 4
which agrees with the third listed answer among the given options
Step-by-step explanation:
We can re-write the logarithmic equation using the properties of logarithms:
Therefore, the arguments of the log functions must also be equal (and we can solve for "x" by noticing that this expression is the perfect square of a binomial:
and for this equation to verify, x must be 4
Let the no. of stars one can expect to see at Bryce Canyon be x.
Given that : No. of stars visible in the night sky = 2000
Also, given that, it is 4/15 of x.
Now, we have
∴ You can expect to see 7,500 stars at Bryce Canyon.
7x^2 - 32x - 60
Factor by grouping,
(x - 6) (7x + 10)