Answer:
Step-by-step explanation:
<h2>a and b</h2>
Answer:
-3.69
Step-by-step explanation:
Exponential equations can be solved by taking Ln (natural logarithm) of both sides. The rule we need to know is:
![Ln(a^b)=bLn(a)](https://tex.z-dn.net/?f=Ln%28a%5Eb%29%3DbLn%28a%29)
Now lets work out this problem:
![16^{2x+3}=13^{x-1}\\Ln(16^{2x+3})=Ln(13^{x-1})\\(2x+3)Ln(16)=(x-1)Ln(13)](https://tex.z-dn.net/?f=16%5E%7B2x%2B3%7D%3D13%5E%7Bx-1%7D%5C%5CLn%2816%5E%7B2x%2B3%7D%29%3DLn%2813%5E%7Bx-1%7D%29%5C%5C%282x%2B3%29Ln%2816%29%3D%28x-1%29Ln%2813%29)
Using calculator, we take the values of Ln 16 and Ln 13 as:
Ln 16 = 2.7726
Ln 13 = 2.5649
Now, we can solve for x:
![(2x+3)Ln(16)=(x-1)Ln(13)\\(2x+3)2.7726=(x-1)2.5649\\5.5452x+8.3178=2.5649x-2.5649\\2.9803x=-10.8827\\x=-3.69](https://tex.z-dn.net/?f=%282x%2B3%29Ln%2816%29%3D%28x-1%29Ln%2813%29%5C%5C%282x%2B3%292.7726%3D%28x-1%292.5649%5C%5C5.5452x%2B8.3178%3D2.5649x-2.5649%5C%5C2.9803x%3D-10.8827%5C%5Cx%3D-3.69)
x is -3.69 (rounded to 2 decimal places)
I dont know if this could help you but if you can please try to answer those two that I didn't complete so you could have an idea on what there relationships are and things like that.
There are 9 trucks and 15 cars
Answer: A is the answer or C
Step-by-step explanation: The hypotenuse is always the longest or biggest angle