Algebra

who ever will help me I do not understand this problem?
Solve each exponential. Give the exact value of x

6^x = 1/36
3^x = 8
I really do not understand at all I have not taken algebra since 8th grade and went back to school at 67, Thank you if you wish to help me understand how to do these problem it is appreciated.

  1. 👍 0
  2. 👎 0
  3. 👁 115
  1. 6^x = (1/6)^2

    6^x = 6^-2
    x = -2

    3^x = 8
    Log3^x = log8
    x log3 = log8
    x = log8/log3

    1. 👍 0
    2. 👎 0
    posted by Kuai
  2. Take the natural log (Ln) of each side of the equation to isolate the variable.

    Ln(6^x)=Ln(1/36)

    x*Ln(6)=Ln(1/36)

    Solve for x:

    x=Ln(1/36)/Ln(6)

    The other problem is exactly the same.

    1. 👍 0
    2. 👎 0
    posted by Devron
  3. thank you for your help. I am feeling like I don't have a brain at all. I work on these homework problems from 9 to 3 this morning. Thanks again I really do appreciate it greatly.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. GENERAL CHEMISTRY

    CALCULATE THE pH AND HYDROLYSIS IN 0.10 M AlCl3 SOLUTION.Ka = 1.2 X 10-5 FOR [Al(OH2)6]+3,OFTEN ABBREVIATED Al+3.TELL WHETHER pH IS ACID OR BASE.GIVE IONIC EQUATION. Help us a little by telling us how much you know to do and

    asked by SHAWN on July 29, 2007
  2. Calculus

    Hello, I really need help on these two homework problem. >< In problem #1, I believe it is related to the exponential functions and their derivatives section...in Calculus II? So, surely there should be a ln in the solution as

    asked by Aria on January 31, 2015
  3. calculus

    Use the first five terms of the exponential series and a calculator to approximate each value to the nearest hundredth. e^3.5 I honestly don't understand the concept or how to solve the problem. :(

    asked by Kim on May 26, 2010
  4. Logs.

    Can you please help me with the following log. problems? thanxs! Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. 7^x = 6^(x + 7) this is how far

    asked by Ang on October 26, 2007
  5. Geometry :(

    this maths problem is wrecking my head.... 1.find the points of interesction of the line L and the circle k in the following L:x-2y=0 K:X Squared + y squared=25 I would solve both equations for y, and then you'll have a system

    asked by emer on September 9, 2006
  6. Algebra

    Once again, I have some confusing problems for math. If you know any answers, even if you only know one, please tell me the answer and walk me through it so I can actually understand how you get to it. Thanks! #1: A space craft

    asked by Celina on November 5, 2008
  7. College Math II

    Solve each problem. Find the quotient and remainder when x^2 – 5x + 9 is divided by x – 3. I don't understand how to divide and solve this problem. Can someone help me understand the steps on how to do it. Thanks.

    asked by Lori on November 21, 2009
  8. Math And Science for Young Children

    The conventional problem-solving strategies usually taught have been: A. act out the problem, make a drawing or diagram, and solve the problem. B. look for a pattern, construct a table, solve the problem, and look back. C.

    asked by Tonya on January 9, 2016
  9. Precalculus

    This is for solving exponential/logarithmic functions: (This is a base e Logarithmic function I would assume): e^(4x)/10 =4^x-2 ? I understand the properties of logs for the most part, but I have a hard time figuring out the

    asked by Sarah on December 11, 2012
  10. Pre calculus

    How do I solve this exponent problem? I understand the exponent rules, but I getting 1 but 1 is not the answer! I don't want anyone to solve the problem for me, I want to learn how to solve this type of problem. Thank you! Solve

    asked by anon on March 27, 2013

More Similar Questions