The answers are as follows.
a. 9x
In order to get this, you need to reevaluate 64 as a base of 4. Since 64 is equal to 4^3, we can rewrite the right side as
64^3x = (4^3)^3x = 4^9x
Which gives you the first answer.
b. 10
Similar to the first problem, we need to express 16 as a base of 2. 2^4 is equal to 16, so we use that in it's place and simplify.
16^5/2 = (2^4)^5/2 = 2^20/2 = 2^10
c. Sqrt(7.31)
This one is more simple. Raising something to a 1/2 power (.5) is the same as taking the square root.
<span>8 1/2 divided by 5 2/3 is </span>1 1/2
X = 29 and y = 101.
To find this, you need to set up an equation.
6x - 95 = 79. Once you solve this, x would equal 29.
Since 6x - 95 and y are on a straight line, they would have to equal 180. So you make another equation except you plug in 29 for x this time.
6(29) - 95 + y = 180. Once you solve this, y would equal 101.
X = arctan(32/19)
x = 59.30 degrees.
You don't say if the answer needs to be rounded, so round it as needed.
