logarithmic question

**patci** · November 22nd 2010, 10:20 PM

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

**emakarov** · November 22nd 2010, 10:31 PM

a) 100 ^1+log5

Do you mean $100^1+\log 5$ or $100^{1+\log 5}$ , and log to what base?

b) 8^log2(5 - 1/3)

Rewrite 8 as 2^3 and use $(a^b)^c=a^{bc}$ and $2^{\log_2x}=x$ .

**patci** · November 23rd 2010, 05:59 AM

Originally Posted by emakarov

or $100^{1+\log 5}$

I meant this one. Exactly, index of the power amount to 1 + log5

**Plato** · November 23rd 2010, 06:05 AM

Assuming you mean $\log_{10}(5)$ then $\displaystyle 10^{\log(5)}=5$ .

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