There are a lot of ways you can go about this. One way is to take away the 2 from the exponent by squaring the 15, because exponent rules state that 15^2x is the same thing as (15^2)^x.
(15^2)^x = 225^x
225^x = 36
Now, you can take the log of both sides, with base 225 so that x is by itself.
Log225 (225)^x = Log225 (36)
x = Log225 (36)
You can either plug Log225 (36) straight into your calculator or if you can't do that, you can use the change of base formula to rewrite it as Log(36)/Log(225).
Log225 (36) = 0.6616
Answer:3/4
Step-by-step explanation: think of it like counting change, four quarters is a dollar while each quarter is 25 cents, 3 quarters is 75 cents and you need four quarters to make a whole dollar
For this case we have the following equation:
h (t) = - 16t ^ 2 + 76t
We must find the time that was in the air.
For this we equate the equation to zero.
-16t ^ 2 + 76t = 0
We look for the roots of the polynomial.
For this, we rewrite:
-4t * (4t-19) = 0
Which roots are:
t = 0
t = 19/4
Therefore, the time it was in the air was:
t = 19/4
Answer:
t = 19/4 seconds
