SOLUTION: Solve both algebraically and graphically. 4^(3x-1)=90 log(4^3x-1)=log(90) 3x-1*log(4)=log(90) 3x-1=log(90)/log(4) 3x=log(90)/log(4)+1 3x=4.2459/3 x=1.4153 (approximately)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve both algebraically and graphically. 4^(3x-1)=90 log(4^3x-1)=log(90) 3x-1*log(4)=log(90) 3x-1=log(90)/log(4) 3x=log(90)/log(4)+1 3x=4.2459/3 x=1.4153 (approximately)       Log On


   

Question 59700: Solve both algebraically and graphically.
4^(3x-1)=90
log(4^3x-1)=log(90)
3x-1*log(4)=log(90)
3x-1=log(90)/log(4)
3x=log(90)/log(4)+1
3x=4.2459/3
x=1.4153 (approximately)
Now I need to show this graphically, and am having a hard time remembering how to do it on my graphing calculator.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Your algebraic solution is ok.
To graph this, you want to get your equation into a form like: f(x) = ...., so:
4%5E%283x-1%29+=+90 subtract 90 from both sides.
f%28x%29+=+4%283x-1%29+-+90
Now you can enter this function, as y+=+4%5E%283x-1%29+-+90 into your graphing calculator.
graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C4%5E%283x-1%29-90%29
The solution is the intersection of the line and the x-axis or x = 1.4...