I need help with these just cant figure them out
1. 3^(?) =1
2. 3^(?) = 1/3
3.log5 (1/25) =?
4. logx = -0.7
What? How did you draw that conclusion? These are the most fundamental properties. You must know these or you WILL fail your exams.
$\displaystyle 3^{1} = 3$
$\displaystyle 5^{1} = 5$
$\displaystyle 4^{0} = 1$
$\displaystyle 6^{0} = 1$
$\displaystyle 2^{-1} = 1/2$
$\displaystyle 7^{-1} = 1/7$
Look at these until you no longer feel an urge to ask the question about 1 and 2 being the same.
To expand on this,
$\displaystyle 3^{1} = 3$ because $\displaystyle \log_3 3 = 1$
$\displaystyle 5^{1} = 5$ because $\displaystyle \log_5 5 = 1$
$\displaystyle 4^{0} = 1$ because $\displaystyle \log_4 1 = 0$
$\displaystyle 6^{0} = 1$ because $\displaystyle \log_6 1 = 0$
$\displaystyle 2^{-1} = 1/2$ because $\displaystyle \log_2 \left(\frac{1}{2}\right) = -1$
$\displaystyle 7^{-1} = 1/7$ because $\displaystyle \log_7 \left(\frac{1}{7}\right) = -1$
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