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Algebra 2 Inverse of Log Question?

I need help with my homework and I don't know how to solve it. But I have the answers.

Find the Inverse. (the ** symbol will mean the base number)

y=log*2* (-3x)

y=log*2* x+1

Answers to 1.y= -2^x/3 and 2. y= 2^x -1

Please explain how you got the answer. Thanks!!

1 Answer

Relevance
  • 9 years ago

    By logorithm rules we take the base to the power of the answer then leave the leading sides

    So for your first one

    2^y = -3x

    so divide both sides by 3

    -2^y / 3 = x

    Note the inverse means we plug the x for y

    so y = -2^x/3

    Try the second one with the same method

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