anonymous
  • anonymous
what is 2^x=10 solve for x please show steps
Mathematics
chestercat
  • chestercat
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regan
  • regan
2=e^ln(2) e^ln(2)x=10 ln(e^ln(2)x)=ln(10) ln(2)x=ln(10) x=ln(10)/ln(2)
anonymous
  • anonymous
can you explain it please
regan
  • regan
do you know what a logarithm is?

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anonymous
  • anonymous
not really
anonymous
  • anonymous
is that what ln stands foor
regan
  • regan
kind of. ok imagine if we guess some values for x that will be close to 10 2^2=4 2^3=8 2^4=16 so we can imagine x lies in between 3 and 4 do you get that?
anonymous
  • anonymous
yes
regan
  • regan
so we need a method of finding x accurately. so we use logs. logs shift us between bases and powers. we 'log' both sides just as we would when using any function
regan
  • regan
log(2^x)=log(10) the law of exponents say log(2^x)=xlog(2)
regan
  • regan
log(10)/log(2)=x try it out on a calculator the answer will be inbetween 3 and 4

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