Math - Logarithmic

Log_8 = Log with the base of 8


log_8 (x-3) - log_8 (3x+11) = log_8 [1 / (x+1)]

I use the quotient law for the left side and eliminate log_8. And then what?

My Work:

log_8 [(x-3)/(3x+11)] = log_8 [1 / (x+1)]
[(x-3)/(3x+11)] = [1 / (x+1)]

Answer: 7

  1. 👍 0
  2. 👎 0
  3. 👁 61
  1. multiply both sides by (3x+11)(x+1)
    (x-3)(x+1) = 3x+11
    x^2 - 2x - 3 = 3x + 11
    x^2 - 5x -14 = 0
    (x-7)(x+2) = 0
    ok?

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. college algebra

    1. solve the following logarithmic equation log_8(x+8)+log_8(x+7)=2 what is the exact solution 2.se the rational theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers.

    asked by Ladybug-two questions- Reiny please help on December 1, 2012
  2. Math

    A logarithmic function of the form f(x)= log_b x+c has an x-intercept at x= 1 and a vertical asymptote at y= 0. Also, f(x) intersects with the line y= 1 when x= 8. What is f(x)? Is it log_8 x+1?

    asked by Quinn on May 11, 2018
  3. Algebra 2

    -Explain the difference between log base b (mn) and ( log base b of m)(log base b of n). Are they equivalent? My answer: Let b=2, m=8, n=16 *log base b (mn)=log base b of m + log base b of n log base 2 of 8+ log base 2 of 16=7 *

    asked by Anonymous on July 21, 2013
  4. Advanced Functions/ Precalculus Log

    1. Evaluate 4^(log base4 64) + 10^(log100) 2. Write 1+log(base2)x^3 as a single logarithm 3. Write log(base b)√(x^3 y z^6) 4. Solve log(base 2)x-log(base 2)6=log(base 2)5+2log(base 2)3 5. Solve 3^(2x) = 9(81^x) 6. Solve

    asked by Jessie on December 19, 2013
  5. Calculus

    Find the inverse of each relation: y = (0.5)^(x+2) and y = 3log base 2 (x-3) + 2 For the first one I got y=log base 0.5 (x+2)...but the answer in the back of the textbook says that it is not x+2, but x-2. Can someone tell me why

    asked by Raj on May 6, 2007
  6. Precalc

    1. 1/3log base 8 of (x+1)=2log base 8 of 3-(2/3)log base 8 of (x+1) 2. 2^x+8 times 2^=x all over 2 = 3 3. if log base a of 3= x and log base a of 2 = y, find each of thefollowing in terms of x and y log base a (18a^3) thanks!!

    asked by Rebekah on November 28, 2012
  7. math

    Use the Laws of logarithms to rewrite the expression log(base 2)(11x(x-9)) in a form with no logarithm of a product, quotient or power. After rewriting we will have: log(base 2)A+log(base 2)x+log(base 2)f(x) What is A and what is

    asked by Rachel on February 20, 2013
  8. check!

    here is the question: log5(x-4)= log7x solve for x. These are just base 10 logs. log100 = 2 This equation has the same format as log 40 = log (2x20) Since both sides have log base 10, you divide by log base 10 and end up with

    asked by Anonymous on September 29, 2006
  9. Math - Bases

    What is 12 base 5? Would you just divide 12 by five and get 2 (but then what about the remainder) If you are refering to logs, 12 base 5 means log of 12 to the base 5. Call it x. 5^x = 12. x = log 12/log 5 (any log base can be

    asked by Laura on October 29, 2006
  10. chemistry

    Please, can someone help? Evaluate log 1. This is my work up until I have gotten stuck: log 1 1=10^x I can't find a common base for 1 and 10^x. Wow, my apologies, this is algebra, not chemistry. but actually I think they use it in

    asked by Darcy on April 10, 2007

More Similar Questions