Monday

July 28, 2014

July 28, 2014

Posted by **Jennifer** on Tuesday, January 3, 2012 at 10:11pm.

log[6](64x^3+1)-log[6](4x+1)=1

- logarithms -
**Reiny**, Tuesday, January 3, 2012 at 10:47pmlog[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 ...

Math - Find the exact solution, using common logarithms, and a two-decimal-place...

math - Logarithm!!! Select all of the following that are true statements: (a) ...

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 - Use the Laws of logarithms to rewrite the expression log(base 2)(11x(x-9...

Advanced Functions/ Precalculus Log - 1. Evaluate 4^(log base4 64) + 10^(log100...

algebra - logarithms Solve the following equations 3^x-2=6 Add 2 to both sides ...

Math - Logarithm - Solve the following logarithm equation. Please show all of ...

Mathematics - Prove that log a, log ar, log ar^2 is an a.p. Is the following ...