Logs

**soly_sol** · October 27th 2007, 04:47 PM

Evaluate the expression without using a calculator.

log3^3^11

**Jhevon** · October 27th 2007, 06:13 PM

Originally Posted by soly_sol

Evaluate the expression without using a calculator.

log3^3^11

is this log to the base 10?

$\log 3^{3^{11}} = 3^{11} \log 3$

if you can't use a calculator, you'd have to use a log table or something to find $\log_{10}3$

**Soltras** · October 27th 2007, 07:18 PM

Originally Posted by Jhevon

is this log to the base 10?

$\log 3^{3^{11}} = 3^{11} \log 3$

if you can't use a calculator, you'd have to use a log table or something to find $\log_{10}3$

The problem might be $\log_3 3^{11}$ .

In which case, no calculator would be necessary. The 11 can come out in front alone, making $11\times\log_3 3 = 11\times1 = 11$ .

**Jhevon** · October 27th 2007, 07:25 PM

Originally Posted by Soltras

The problem might be $\log_3 3^{11}$ .

In which case, no calculator would be necessary. The 11 can come out in front alone, making $11\times\log_3 3 = 11\times1 = 11$ .

indeed. after reviewing his/her posts, i see that soly_sol has a hard time posting questions in an understandable manner. the same question was posted as log3311 in another post. but your interpretation makes more sense, i was merely trying to get a response from the poster

**Soltras** · October 27th 2007, 07:31 PM

Originally Posted by Jhevon

indeed. after reviewing his/her posts, i see that soly_sol has a hard time posting questions in an understandable manner. the same question was posted as log3311 in another post. but your interpretation makes more sense, i was merely trying to get a response from the poster

Wow I'd be impressed if anyone could do log3311 in his head.

All I know is that it's three-point-something. . .

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