Posted by Jennifer on Tuesday, January 3, 2012 at 10:11pm.
log[6] ( (64x^3 + 1)/(4x+1) ) = 1
(64x^3+1)/(4x+1) = 6^1
I can reduce the left side ...
(4x+1)(16x^2 -4x+1)/(4x+1) = 6
16x^2 - 4x - 5 = 0
x = (4 ± √336)/32
but in log (4x+1) , 4x+1 > 0
x > -1/4, so we have to reject the negative x value
x = (4 + √336)/32
= (4 + 4√21)/32
= (1 + √21)/8
Related Questions
College Algebra - Solve the logarithmic equation. Express your solutions in ...
pre calculous - use the properties of logarithms to write the expression as a ...
calculus - Please help me solve this equation. log[2](3)+log[2](x)=log[2](5)+log...
Math - Logarithm - Solve the following logarithm equation. Please show all of ...
algebra - logarithms Solve the following equations 3^x-2=6 Add 2 to both sides ...
college alg - solve the following logarithm equation log (4x+7)=1+log(x-6) x=? ...
college algebra - solve the following logarithm equation log (4x+7)=1+log(x-6) x...
Logarithms - Kepler's third law of planetary motion relates P, the period of...
exact logarithms - Use the properties of logarithms to find the exact value of ...
Math - Can the product law of logarithms be used to evaluate log(-2) + log(-3)? ...
For Further Reading
