The base of a triangular prism is a right triangle whose legs are 7 cm and 24 cm. The height of the prism is 30 cm. What is the
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A sine function will have a value of 1/2 infinity times. However, on the interval of a single period, a sine function will have a value of 1/2 one time.
Option c: x=6 is a true solution and x=-6 is an extraneous solution.
Explanation:
The equation is
Dividing both sides of the equation by 2, we get,
Simplifying,
Since, we know by the logarithmic definition, if , then
Using this definition, we have,
Hence,
Now, let us verify if is the solution.
Substitute in the equation
to see whether both sides of the equation are true.
We have,
Using the log rule,
We have,
Hence, both sides of the equation are equal.
Thus, is the true solution.