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anonymous

  • 5 years ago

what is 2^x=10 solve for x please show steps

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  1. Regan
    • 5 years ago
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    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)

  2. anonymous
    • 5 years ago
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    can you explain it please

  3. Regan
    • 5 years ago
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    do you know what a logarithm is?

  4. anonymous
    • 5 years ago
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    not really

  5. anonymous
    • 5 years ago
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    is that what ln stands foor

  6. Regan
    • 5 years ago
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    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?

  7. anonymous
    • 5 years ago
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    yes

  8. Regan
    • 5 years ago
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    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

  9. Regan
    • 5 years ago
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    log(2^x)=log(10) the law of exponents say log(2^x)=xlog(2)

  10. Regan
    • 5 years ago
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    log(10)/log(2)=x try it out on a calculator the answer will be inbetween 3 and 4

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