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ToniRogers23

  • 3 years ago

how can u rewrite these logarithmic equations an equivalent exponent equation or the other way around m=loga x is equivalent to am=x1. log3 5=y,2. loga 7=-2then solvelog2x=-3,logx9=1/2

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  1. ToniRogers23
    • 3 years ago
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    need help solving and rewriting

  2. ToniRogers23
    • 3 years ago
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    can u go over with this with me and help rewrite and solve

  3. ToniRogers23
    • 3 years ago
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    with attachment to help

  4. TransendentialPI
    • 3 years ago
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    Sorry for the delay, my paid gig had some one show up. You've seen: \[\log_{a} b=x \rightarrow a^{x}=b\]

  5. ToniRogers23
    • 3 years ago
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    ok

  6. TransendentialPI
    • 3 years ago
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    \[\log_{3} 5=y\] What is the "base"?

  7. ToniRogers23
    • 3 years ago
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    5

  8. TransendentialPI
    • 3 years ago
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    No. In exponential form \[3^y=5\] so the 3 is the base

  9. TransendentialPI
    • 3 years ago
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    \[base^{exponent}=answer\]

  10. TransendentialPI
    • 3 years ago
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    In log form \[\log_{base}answer =exponent \]

  11. TransendentialPI
    • 3 years ago
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    OK?

  12. ToniRogers23
    • 3 years ago
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    ok

  13. TransendentialPI
    • 3 years ago
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    What is \[\log_{4} 16 = 2\] in exponential form?

  14. ToniRogers23
    • 3 years ago
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    4y=16,

  15. TransendentialPI
    • 3 years ago
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    right, 4^2 = 16

  16. TransendentialPI
    • 3 years ago
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    If we had to write \[3^2=9\] in log form, we'd write \[\log_{3}9=2 \]

  17. TransendentialPI
    • 3 years ago
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    OK?

  18. ToniRogers23
    • 3 years ago
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    ok

  19. TransendentialPI
    • 3 years ago
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    Your second problem is \[\log_{a}7=2 \] What is the base here?

  20. ToniRogers23
    • 3 years ago
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    7y=-2

  21. TransendentialPI
    • 3 years ago
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    The base is a (it is that small sub scripted (a)

  22. ToniRogers23
    • 3 years ago
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    ok

  23. TransendentialPI
    • 3 years ago
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    The exponent is on the right side of the equal sign

  24. ToniRogers23
    • 3 years ago
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    -2

  25. ToniRogers23
    • 3 years ago
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    a7

  26. TransendentialPI
    • 3 years ago
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    Right, so try writing the a, the 7 and the -2 in exponential form

  27. ToniRogers23
    • 3 years ago
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    7a=-2

  28. TransendentialPI
    • 3 years ago
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    a is the base -2 is the exponent and the 7 is the "answer"

  29. TransendentialPI
    • 3 years ago
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    \[a^{-2}=7\]

  30. ToniRogers23
    • 3 years ago
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    ok

  31. ToniRogers23
    • 3 years ago
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    so it would bea-2=7

  32. TransendentialPI
    • 3 years ago
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    How about \[\log_{a} 30 = 5\] What is that in exponential form?

  33. TransendentialPI
    • 3 years ago
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    Base is ___ Exponent is ____ and the answer is _____

  34. ToniRogers23
    • 3 years ago
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    a30=5

  35. ToniRogers23
    • 3 years ago
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    30

  36. ToniRogers23
    • 3 years ago
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    answer

  37. TransendentialPI
    • 3 years ago
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    right, 30 is the answer a is the base and 5 is the exponent

  38. TransendentialPI
    • 3 years ago
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    Try watching the first few minutes of this video http://patrickjmt.com/properties-of-logarithms-part-1/

  39. TransendentialPI
    • 3 years ago
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    How did the video help?

  40. ToniRogers23
    • 3 years ago
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    ok

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