SOLUTION: Solve for x. Round to the nearest ten-thousandth. 6^(3x+8) = 11

Algebra.Com
Question 1060126: Solve for x. Round to the nearest ten-thousandth.
6^(3x+8) = 11

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Same problem, different numbers.
==========================
5^(-1x+1) = 15
(1-x)*log(5) = log(15)
log(5) - x*log(5) = log(15)
x*log(5) = log(5) - log(15) = log(1/3)
x = log(1/3)/log(5)
x =~ -0.6826

RELATED QUESTIONS

solve for x and round to nearest ten-thousandth 6^(3x)... (answered by josgarithmetic,MaxWong)
Solve for x. Round to the nearest ten-thousandth log (538x) =... (answered by Alan3354)
Solve for x. Round to the nearest ten-thousandth. 5^(-1x+1) =... (answered by Alan3354)
2ln(100-3x)-8=0.5 Round answer to nearest thousandth,solve for... (answered by stanbon)
Solve for x. Round to the nearest ten-thousandth. ln(e^6x)=61 e^61 = e^6x 6x=61 (answered by jim_thompson5910)
Solve 3log2x=4. Round to the nearest... (answered by josmiceli)
Solve 10^6x = 93. Round to the nearest... (answered by jim_thompson5910,Alan3354)
Solve 10^6x = 93. Round to the nearest... (answered by jim_thompson5910)
Solve 15^×2=36. Round to the nearest ten... (answered by Alan3354)