anonymous
  • anonymous
4^2x=8
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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ganeshie8
  • ganeshie8
hint : 8 = 2^3
anonymous
  • anonymous
i know what the answer is i just dont know how to get is ganeshie
anonymous
  • anonymous
it*

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asnaseer
  • asnaseer
if you have:\[a^x=a^y\]what can you say about the relationship between x and y?
anonymous
  • anonymous
x=y
asnaseer
  • asnaseer
correct - so use the hint given by ganeshie8 to solve this
asnaseer
  • asnaseer
try and express both sides as the power of the same number
anonymous
  • anonymous
4^2x=8 unsqaure it 2=8
asnaseer
  • asnaseer
can you express 4 as a power of 2?
anonymous
  • anonymous
yes
asnaseer
  • asnaseer
use that to end up with 2 to the power of something on both sides of the equals sign
asnaseer
  • asnaseer
then use the fact that since they are both 2 to the power of something then the powers must be equal
anonymous
  • anonymous
2x = 3/2
asnaseer
  • asnaseer
yes
anonymous
  • anonymous
x = 3/4
asnaseer
  • asnaseer
the way I was thinking of was more like:\[4^{2x}=8\]therefore:\[(2^2)^{2x}=2^3\]therefore:\[2^{4x}=2^3\]therefore:\[4x=3\]therefore:\[x=\frac{3}{4}\]
asnaseer
  • asnaseer
I guess you took square roots and some step above
anonymous
  • anonymous
i like your way better
asnaseer
  • asnaseer
thx :)

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