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anonymous

  • 5 years ago

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  1. anonymous
    • 5 years ago
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  2. anonymous
    • 5 years ago
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    \[8.2^{n-3}=42.5\] \[ln(8.2^{n-3})=ln(42.5)\]

  3. anonymous
    • 5 years ago
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    \[(n-2)ln(8.2)=ln(42.5)\] \[n-2=\frac{ln(42.5)}{ln(8.2)}\]

  4. anonymous
    • 5 years ago
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    \[n=\frac{ln(42.5)}{ln(8.2)}+2\]

  5. anonymous
    • 5 years ago
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    need the next one? works the same i think

  6. anonymous
    • 5 years ago
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    step 1. take the log of both sides

  7. anonymous
    • 5 years ago
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    yes

  8. anonymous
    • 5 years ago
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    step 2 pull out the exponent as a multiplier

  9. anonymous
    • 5 years ago
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    step 3 now that everything is on the ground floor use algebra. i will write it

  10. anonymous
    • 5 years ago
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    \[2.1^{t-5}=9.2\]

  11. anonymous
    • 5 years ago
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    frist one how u get (n-2)

  12. anonymous
    • 5 years ago
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    because i made a typo. replace the 2 by a 3!

  13. anonymous
    • 5 years ago
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    i typed it in wrong at the start. 2 should be 3. all other steps are the same

  14. anonymous
    • 5 years ago
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    i will write the next one \[2.1^{t-5}=9.2\] step 1 take the log of both sides \[ln(2.1^{t-5})=ln(9.2)\]

  15. anonymous
    • 5 years ago
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    step 2 pull the t - 5 out front as a multipier \[(t-5)ln(2.1)=ln(9.2)\]

  16. anonymous
    • 5 years ago
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    ste 3 divide both sides by ln(2.1) we are trying to get t by itself \[t-5=\frac{ln(9.2)}{ln(2.1)}\]

  17. anonymous
    • 5 years ago
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    step 4 add 5 to both sides \[t=\frac{ln(9.2)}{ln(2.1)}+5\]

  18. anonymous
    • 5 years ago
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    done

  19. anonymous
    • 5 years ago
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    u great ,thank

  20. anonymous
    • 5 years ago
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    welcome!

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