Which graph would help solve the equation5log(x+3)=5?
1 answer:
Method 1:
By graphing, we can find the graph of y = 5log(x + 3) and y = 5 to see where they intersect.
Method 2:
Alternatively, by subtracting 5 from both sides, we can find where the graph 5log(x + 3) - 5 hits the x-axis. In essence, we are finding when y hits 0 and thus, finding where it hits the x-axis.
Method 3:
We can also just solve this algebraically. When we don't have any superscripts, we take the assumption that we're working in base 10.
Divide both sides by 5:
Take the inverse of log(x + 3) to both sides:
Hence, we know that at x = 7, 5log(7 + 3) = 5.
The graphs of Method 1 is pictured first, and the graph of Method 2 is pictured on the right.
By graphing, we can find the graph of y = 5log(x + 3) and y = 5 to see where they intersect.
Method 2:
Alternatively, by subtracting 5 from both sides, we can find where the graph 5log(x + 3) - 5 hits the x-axis. In essence, we are finding when y hits 0 and thus, finding where it hits the x-axis.
Method 3:
We can also just solve this algebraically. When we don't have any superscripts, we take the assumption that we're working in base 10.
Divide both sides by 5:
Take the inverse of log(x + 3) to both sides:
Hence, we know that at x = 7, 5log(7 + 3) = 5.
The graphs of Method 1 is pictured first, and the graph of Method 2 is pictured on the right.
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<h2>Answer:</h2>
A.) {-6, -2, 5}
<h2>Step-by-step explanation:</h2>A function from a set
to a set
is a relation that assigns to each element
in the set
exactly one element
in the set
. The set
is the domain (also called the set of inputs) of the function. From the figure, we can see that this set is the x-coordinate of each red point. So this set is {-6, -2, 5}