The height of the prism is
Explanation:
It is given that the area of the cross section of the rectangular prism is 45 square inches.
Length of the rectangular prism is
Width of the rectangular prism is
To determine the height of the prism, let us substitute these values in the formula , we get,
Multiplying the terms within the bracket, we get,
Adding the terms within the bracket, we have,
Dividing both sides by 20, we get,
Thus, the height of the rectangular prism is
Answer:
Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then:
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then:
x = log_12(y).
Then, the inverse of: y= 12^x is: