Friday

April 18, 2014

April 18, 2014

Posted by **Ed** on Wednesday, September 8, 2010 at 4:46pm.

10^(-10log3)

The log exponent is confusing me. Could someone please help me? Thanks.

- Math -
**bobpursley**, Wednesday, September 8, 2010 at 5:00pm-10log3= log3^-10= log (1/3^10)

so 10^(log(1/3^10)= 1/3^10

Here is an unconfusing explanation.

log100=2

so 10^2=l0^(log100) by definition.

- Math -
**Reiny**, Wednesday, September 8, 2010 at 5:07pmHave you come across the property of logs that says ..

a^log_{a}k = k

your question fits that pattern after a quick adjustment

10^(-10log3)

= 10^(log 3^(-10))

= 3^-10

= 1/3^10 , so far no calculator

= appr. .000016935

check:

log3 = .47771213

-10log3 = -4.771213

10^-4.771213 = .00016935

- Math -
**Ed**, Wednesday, September 8, 2010 at 8:50pmThanks!

**Related Questions**

Math - Find the value of the following. 10^(-10log3) The log exponent is ...

math - Wondering the answers to these: Find the value of each of the following. ...

chemistry - Please, can someone help? Evaluate log 1. This is my work up until I...

Math Help Please - Which of the following expressions is equal to log (x sqrt-y...

math - Find the value of each of the following. Leave your answers as fractions ...

math - Logarithm!!! Select all of the following that are true statements: (a) ...

domain - How do you find the domain of log(x^2-4)? and how about this one? e^(3x...

precalc help - Find the exact value without a calc 1. log base 3 of 8 times log ...

Logarithms - Hi, Can anyone tell me if the following are correct please:- If x...

math - Q1:solve log(5)x-log(25)(x+10) = 0.5 Q2:If 2log(a)x=1+log(a) (7x-10a) ,...