Answer:
x=-2
Step-by-step explanation:
To solve this, let's set the two exponents so that they have the same base. We know that 9 is 3², so we can rewrite the left side as (3²)^(x-8), which simplifies to 3^(2x-16). Now, we have 3^(2x-16) = 3^(4x-12). Since the bases are equal, the exponents are also equal. Therefore, 2x-16 = 4x-12. When we solve, we get -2x = 4, so x=-2. Hope this helps!
Answer:
a. 162 units²
Step-by-step explanation:
The lateral area is area of the lateral sides (in other words, the surface area not including the bases).
Here, the lateral sides are three rectangles. So the total lateral area is:
A = (6)(9) + (8)(9) + (4)(9)
A = 162