(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Im not looking for answers as i know the answers already. i also know that given time and a calculator, i could figure these out, but i have neither for the exams. I am just wondering the general way of setting problems like this up, so i can solve others in the future. my book and prof did not go over this. google hasnt helped and the threads here dont seem to address it either.

log_{9}[tex]\sqrt{3}[/tex]

log_{8}1/4

log_{3}[tex]\sqrt{27}[/tex]

2. Relevant equations

3. The attempt at a solution

9^{x}=[tex]\sqrt{3}[/tex]

8^{x}=1/4

3^{x}=[tex]\sqrt{27}[/tex]

? is there an easier or more logical way? these equations are not helping me.

i still do not know how to figure out what x is. even if i memorise the exponents, i think there must be an actual method to do these.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Evaluating logarithms

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