Precalculus-Verify

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log(base2)x-log(base2)6= log(base2)5+ 2log(base2)3

log(x/6)=3log15

(x/6)=15^3

6*(x/6)=15^3*6

x=15^3*6
=20,250


Answer is 270....

What did I do wrong...

  • Precalculus-Verify -

    2log(base2)3 is the same as log(base2)3^2, which would be log(base2)9.

    Therefore, we have:

    log(x/6) = log45

    x/6 = 45

    x = 45 * 6 = 270

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