Answer:
Step-by-step explanation:
The solution of the problem has been solved on paper and attached in the attachment section. Kindly refer to that and feel free to ask any doubt.
Answer: Third Option
![x=1.469743](https://tex.z-dn.net/?f=x%3D1.469743)
Step-by-step explanation:
We have the following exponential equation
![3^{x+1}=15](https://tex.z-dn.net/?f=3%5E%7Bx%2B1%7D%3D15)
We must solve the equation for the variable x
To clear the variable x apply the
function on both sides of the equation
![log_3(3^{x+1})=log_3(15)](https://tex.z-dn.net/?f=log_3%283%5E%7Bx%2B1%7D%29%3Dlog_3%2815%29)
Simplifying we get the following:
![x+1=log_3(15)](https://tex.z-dn.net/?f=x%2B1%3Dlog_3%2815%29)
To simplify the expression
we apply the base change property
![log_b(y)=\frac{log(y)}{log(b)}](https://tex.z-dn.net/?f=log_b%28y%29%3D%5Cfrac%7Blog%28y%29%7D%7Blog%28b%29%7D)
This means that:
![log_3 (15)=\frac{log(15)}{log(3)}](https://tex.z-dn.net/?f=log_3%20%2815%29%3D%5Cfrac%7Blog%2815%29%7D%7Blog%283%29%7D)
Then:
![x+1=\frac{log(15)}{log(3)}](https://tex.z-dn.net/?f=x%2B1%3D%5Cfrac%7Blog%2815%29%7D%7Blog%283%29%7D)
![x=\frac{log(15)}{log(3)}-1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Blog%2815%29%7D%7Blog%283%29%7D-1)
![x=1.469743](https://tex.z-dn.net/?f=x%3D1.469743)
Easy!!!!! its zero!!!!! LOL
Answer:
60
Step-by-step explanation: