SOLUTION: Express xcube = e to the power of 6x - 1 in the form of ln x = ax + b and find a and b

Algebra.Com
Question 1179271: Express xcube = e to the power of 6x - 1 in the form of ln x = ax + b and find a and b
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Previously Posted:
Express x^³ = e^( 6x - 1) in the form of 
ln x = ax + b and find a and b

x^3 = e^(6x-1)
ln(x^3) = 6x-1  |Take ln of both sides of the EQ
3*ln(x) = 6x-1
  ln(x) = 2x-1/3   ⇒  a = 2  and b = -1/3
Wish You the Best in your Studies.




RELATED QUESTIONS

Express x³ = e to the power of 6x - 1 in the form of ln x = ax + b and find a and... (answered by ewatrrr)
Express x³ = e to the power of 6x - 1 in the form of ln x = ax + b and find a and... (answered by ewatrrr)
Express the following in terms of x without natural logs. a) ln(1/e^8x) b)... (answered by lwsshak3)
Express the inverse function of y=e^(4x-5) in the form y=a ln x +b. We are looking for... (answered by hayek)
The question reads: Express the following in terms of ln 5 and ln 7. a) ln(1/125) b)ln... (answered by stanbon)
Write each expression as a sum and/or difference of logarithms. Express powers as... (answered by lwsshak3)
What is the value of x, to 2 decimal places, if ln(ax) = b when a = 49.3 and b =... (answered by Fombitz)
Evaluate f(0), f(1),and f(2). Round your answer to three decimal places. A) Express... (answered by Shin123)
Find a quadratic function F(x) that takes its largest value of 200 at x=3, and express it (answered by ikleyn)