SOLUTION: using the law of logarithms, solve for the following indicial equation for x each correct to three decimal places 4 to the power of 2x-1 = 5 to the power of x+2 4^2x-1 = 5^x+

Question 763448: using the law of logarithms, solve for the following indicial equation for x each correct to three decimal places
4 to the power of 2x-1 = 5 to the power of x+2
4^2x-1 = 5^x+2
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Given:
(1)
Take the LOG of each side to get
(2) or
(3) or
(4) or
(5) or
(6) or
(7) or
(8) or
(9) or
(10) or
(11)
To check put x of (11) into (1) and you will get
(12) 14638 = 14638
Answer: x = 3.959

RELATED QUESTIONS
solve for T using the rules of logarithms, round answer to three decimal places:... (answered by Alan3354)

Use natural logarithms to solve the equation 8*2^z=18*12^z for z (three decimal... (answered by josmiceli)

use natural logarithms to solve the equation 7 (3^z) = 19 (15^z) for z (three decimal... (answered by ankor@dixie-net.com)

use properties of logarithms to solve each equation. express answers to three decimal... (answered by vleith)

Solve each equation using logarithms. If as answer is not exact give the answer to four... (answered by richard1234)

Please find the solution of the exponential equation 15^x = 4 in terms of logarithms or... (answered by nerdybill,ewatrrr)

Find the solution of the exponential equation 15^x = 4 in terms of logarithms, or correct (answered by Gogonati)

Find the solution of the exponential equation 4e^x = 10 in terms of logarithms, or... (answered by John10)

Find the solution of the logarithmic equation log(3x+2) = 3 in terms of logarithms, or... (answered by nerdybill)