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anonymous

  • one year ago

What is the solution of log(2x – 6) 256 = 4? I just want to know how to do this.

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  1. Jhannybean
    • one year ago
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    is 256 a power or multiplier?

  2. anonymous
    • one year ago
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    multiplier

  3. Jhannybean
    • one year ago
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    So your problem is: \(256\log(2x-6)=4\) ?

  4. anonymous
    • one year ago
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    Oh wait xD... my problem is like...

  5. anonymous
    • one year ago
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    \[\log_{2x-6} 256 = 4\]

  6. Jhannybean
    • one year ago
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    okay. remember the log rule: \(\large \log_x b=a \implies x^a=b\)

  7. anonymous
    • one year ago
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    I have no idea what that means xD

  8. Jhannybean
    • one year ago
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    \[\log_{(2x-6)}256 = 4 \implies (2x-6)^4 = 256\] Do you see how the formula works?

  9. anonymous
    • one year ago
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    Yes, but how do I change that to the answer? (The answer is x = 5, I took the test, I just wanna know how to do it)

  10. Jhannybean
    • one year ago
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    Alright

  11. Jhannybean
    • one year ago
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    to get rid of the 4rth power, you take the 4rth root from both sides o the equation.

  12. Jhannybean
    • one year ago
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    \[(2x-6)^4=256\]\[\sqrt[4]{(2x-6)^4} = \sqrt[4]{256}\]\[2x-6=4\]\[2x=10\]\[x=5\]

  13. anonymous
    • one year ago
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    Thank you, thats all i wanted haha, I already gave u a medal

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