Maths

Assume that x, y and z are positive numbers. Use the properties of logarithms to write the expression -2logb^(x-6)logb^y+1/7logb^z as the logarithm of one quantity.

answers:
a. logb z1/7 / x^2y^6
b. logb z 1/7 / x^6y^2
c. log x1/7 / y^2 z^6
d. logb z1/2 / x^7y^6
e. logo z1/6 / x^2y^7

the answer i got was -2logb(z)log(x-6)log(7y+1/7) but this is not one of the answers. can you help please?

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  1. you made a simplfying error i think

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  2. idk fo sure thorgh

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  3. do you know where I made the error or can you help me with the answer?

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  4. Since multiplying logs is not one of the usual operations, and none of the answers includes (x-6) I'd say you are in trouble from the start. I suspect that you were given

    -2logb^x -6logb^y + 1/7 logb^z

    That is choice (a), assuming the usual sloppiness with notation.

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