SOLUTION: Solve for x using logarithms. Give an exact answer. Do not enter a decimal approximation. 3*2^x = 8*7^x

SOLUTION: Solve for x using logarithms. Give an exact answer. Do not enter a decimal approximation. 32^x = 87^x

Algebra.Com

Question 559608: Solve for x using logarithms. Give an exact answer. Do not enter a decimal approximation.
3*2^x = 8*7^x
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

log(3) + x*log(2) = log(8) + x*log(7)
x*(log(7) - log(2)) = log(3) - log(8) - log(3/8)
x = log(3/8)/log(7/2)

RELATED QUESTIONS
solve for x 12^(-7x)=7^(-x+8) give the exact answer using base 10... (answered by stanbon)

Solve the equation 2^X=3^4-x. Write your solution exactly in terms of logarithms. Do not... (answered by Edwin McCravy)

solve for x: ln(x+2)=16. Give exact answer and decimal approximation to the nearest... (answered by josmiceli)

Find the exact solution to the exponential equation 2000=20(3)^(2x). (Do not give a... (answered by fractalier,Alan3354)

solve for x 3^(x-7)=14^(2x) write the exact answer using base-10... (answered by Alan3354,tommyt3rd)

Solve for X using the rules of logarithms, give exact answer. (sqrt( 3... (answered by shree840)

Find the exact solution, using common logarithms. (Enter your answers as a... (answered by Theo,MathTherapy)

Find the exact solution, using common logarithms, and a two-decimal-place approximation,... (answered by lwsshak3)

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