Algebra

posted by .

Find x if 2^16^x = 16^2^x

Just to make this clear, if you were reading this aloud, it would sound like this:

if 2 to the power of 16 to the power of x equals 16 to the power of 2 to the power of x.

So basically, the x would not be the same size as the 2 or 16, but really tiny and above the 2 and 16.

Thank you!

  • Algebra -

    (2^16)^x = (16^2)^x
    16^2^x = [(2^4)^2]^x
    and
    a^b^c = a^(bc)
    so
    2^16 x = 2^8x
    16 x log 2 = 8 x log 2
    16 x = 8 x ?
    not unless x = 0

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. dividing monomials

    i don't know what to do when their is a smaller number on top Give an example and tell us what you don't understand. (-c)2d7/c2d6 d i just don't get it do u have some examples?
  2. Math - Exponential Notion

    Can someone explain this to me please, I cannot help my son with his homework Do you mean exponential notation?
  3. ALGEBRA 1

    ok the question is Describe how you would help a friend who needs to simplify the expression 4x to the fourth power over 2x to the fifth power plz help thanks Act like one of the teachers in here, explain with words and step by step …
  4. Public Administration

    I believe I have the correct answer for this one, but just want to make sure. According to theories of French and Raven, Martin Luther King Jr exemplified which style of power in his leadership of the civil rights movement?
  5. Math/Standard and scientific notation

    Express each measure in standard form. (One more thing by the way you need this few prefixes) Tera= 10 to the 12th power Giga= 10 to the 9th power Mega= 10 to the 6th power Kilo= 10 to the 3rd power Pico= 10 to the -12th power Nano= …
  6. physics

    An electronic point source emits sound isotropically at a frequency of 3000 Hz and a power of 34 watts. A small microphone has an area of 0.75 cm2 and is located 158 meters from the point source. a) What is the sound intensity at the …
  7. PreCalc

    The decibel (dB) is defined as dB= 10log (P2/P1), where P2 is the power of a particular signal. P1 is the power of some reference signal. In the case of sounds, the reference signal is a sound level that is just barely audible.How …
  8. physics

    The human eardrum has an area of 5.0×10–5 m2. (a) What is the sound power received when the incident intensity is the minimum perceivable, 1.0×10–12 W/m2?
  9. algebra

    A sound power level reading of 127 dB was taken near a construction site where chippers were being used. When all but one of the chippers stopped working, the sound power level reading was 120 dB. Estimate the number of chippers in …
  10. chemistry

    A sound power level reading of 127 dB was taken near a construction site where chippers were being used. When all but one of the chippers stopped working, the sound power level reading was 120 dB. Estimate the number of chippers in …

More Similar Questions