Algebra

Solve the exponential equation.
4^2x – 2 = 26

I know I use the one to one property to equate. But I am confused. Thanks!

  1. 👍 0
  2. 👎 0
  3. 👁 142
asked by Meghan
  1. do you mean

    4^(2x) - 2 = 26 or

    4^(2x-2) = 26 or

    (4^2)x - 2 = 26

    The way you typed it, it would be the last one, but I am sure that is not what you meant.

    1. 👍 0
    2. 👎 0
    posted by Reiny
  2. 4^(2x-2)=26

    1. 👍 0
    2. 👎 0
    posted by Meghan
  3. then take log of both sides
    log [4^(2x-2) }= log 26
    (2x-2)log4 = log 26
    2x-2 = log26/lo4
    2x = (log26/log4 + 2)
    x = (log26/log4 + 2)/2 = appr. 2.1751

    check
    4^(2(2.1751 - 2)
    = 4^(4.35022 - 2)
    = 4^2.35022
    = 26
    = RS

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Solving exponential and logarithmic equation. An example of an exponential equation is: Solve for x: 5^x=125

    asked by Mike on July 31, 2017
  2. Algebra-please check my answers

    Solve the equation by expressing each side as a power of the same base and then equating exponents. 9^(x - 9)/8= sqrt of 9 i got 13 4^(x + 10) = 8^(x - 6) i got 38 Solve the exponential equation. Express the solution set in terms

    asked by Ang on October 26, 2007
  3. Algebra Help

    Let x = log_2 1/8 Write the exponential form of the equation and solve the equation for x. Does this work? Thanks! Exponential form is 2^-3=1/8 To Check: 2^-3=1/2^3=1/8

    asked by Pamela on August 5, 2009
  4. pre-calculus

    solve the equation 1. In x + In (x+12) =2 x= ? or either there is no solution 2. solve the exponential equation 9^x=6 What is the exact answer? 3. Use transformations to indentify the graph of the function. Then determine its

    asked by ladybug on October 6, 2012
  5. math need help urgent

    find the domain f(x)=x/x-8,g(x)=-7/x solve the following exponential equation equation exact answers only 3e x-1 = 2+e^x-1

    asked by zach w on November 27, 2012
  6. math need help urgent

    find the domain f(x)=x/x-8,g(x)=-7/x solve the following exponential equation equation exact answers only 3e x-1 = 2+e^x-1

    asked by zach w on November 27, 2012
  7. college algbra

    find the domain f(x)=x/x-8,g(x)=-7/x solve the following exponential equation equation exact answers only 3e x-1 = 2+e^x-1

    asked by zach w on November 26, 2012
  8. algebra

    log9 1= _______ (fill in the blank) Let x=log2 1/32 . Write the exponential form of the equation and solve the equation for x.

    asked by math help on December 5, 2010
  9. Algebra

    Let x = log_2 1/8 Write the exponential form of the equation and solve the equation for x.

    asked by Pamela on August 5, 2009
  10. Algebra

    Write the exponential form of the equation and solve the equation for x Let x = 1og_2 1/8

    asked by Shelly on August 2, 2009
  11. math

    When someone says write an exponential equation, what kind of format is that? I know a linear equation is y = mx + b, but what is an exponential equation?

    asked by carly on November 8, 2017

More Similar Questions