SOLUTION: Solve the following exponential equation: 4^(1-3x) = 5^(0.5x+7) I have it about half way and then I'm stuck, really need to see all the steps. Thank you.

Algebra.Com
Question 1054563: Solve the following exponential equation:
4^(1-3x) = 5^(0.5x+7)
I have it about half way and then I'm stuck, really need to see all the steps. Thank you.

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Take log of both sides and change one of them using Change of Base formula.



Another way is just use log base ten.












Look in your reference information for those logarithms, base ten, and do the computations for x.

RELATED QUESTIONS

Hello! I need to solve this equation by completing the square: 5x^2+15x-1 =0 I know... (answered by Alan3354)
Hello, I need help Please with the following problem. Solve the system: 2x + y + Z... (answered by stanbon)
I need your help on this quadratic formula question. You have to solve it using the... (answered by psbhowmick,Alan3354)
I need help with the following exponential please. Solve: 7^-x-3* 7^1+x -4=0 Please (answered by Fombitz)
I know the answer to this equation but only make it half way through then get stuck... (answered by josgarithmetic,MathTherapy)
I am trying to figure out how to simplify and hence solve the following equation.... (answered by khwang)
how do i solve system of equations? that look like these... (answered by ReadingBoosters)
I need help finding the domain and range of the following equation 5x-3y+4=0 would... (answered by rothauserc)
I need to solve exponential equations. 1.2e^-5x + 2.6 = 3 (the -5x is the exponent) I... (answered by Mr.Math)