I need help with some examples : a) 100 ^1+log5 b) 8^log2(5 - 1/3) what kinds of formulas should I use? In the first example I'm thinking about changing 1 to log5 (5), but I don't know if it has any sense
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a) 100 ^1+log5 Do you mean $\displaystyle 100^1+\log 5$ or $\displaystyle 100^{1+\log 5}$, and log to what base? b) 8^log2(5 - 1/3) Rewrite 8 as 2^3 and use $\displaystyle (a^b)^c=a^{bc}$ and $\displaystyle 2^{\log_2x}=x$.
Originally Posted by emakarov or $\displaystyle 100^{1+\log 5}$ I meant this one. Exactly, index of the power amount to 1 + log5
Assuming you mean $\displaystyle \log_{10}(5)$ then $\displaystyle \displaystyle 10^{\log(5)}=5$.
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