Explain how to solve 3x − 4 = 6 using the change of base formula log base b of y equals log y over log b. include the solution for x in your answer. round your answer to the nearest thousandth.

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

How much orange juice do you need to make 2 servings of lemony orange slush?

What is the length of the midsegment of a trapezoid with bases of length 15 and 25 ?