Homework Help: Precalculus

Posted by jh on Monday, March 1, 2010 at 12:43am.

PLEASE HELP ME WITH THESE QUESTION AS MUCH AS POSSIBLE!!
Evaluate without a calculator. Give exact answers:
a) log(log(10)) = ?
b) square root (log(100)) - log(square root(100)) = ?
c) log((square root 10^3)(square root 10^5)(square root 10) = ?
d) 1000^log(3) = ?
e) log(1/log(10square root 10)) = ?

Precalculus - Reiny, Monday, March 1, 2010 at 8:11am
a) log(log10)
= log 1 = 0

b) √log100 - log(√100)
= √2 - log10
=√2 - 1

c) log(√10^3√10^5√10)
= log √10^9
= log 10^(9/2)
= (9/2)log10 = (9/1)(1) = 9/2

d) 1000^log3
= ((10)^3)^log3
= 10 ^(3log3)
= 10^(log27)
= 27

e) log (1/log(10√10)
= log 1 - log(10√10)
= 0 - log(10√10)
= -log(10√10)
= -(log10 + log(√10)
= -(1 + 1/2_
= -3/2

Answer this Question

Related Questions

Algebra-Another question - Evaluate 4log(4)8 Possible answers are: 4 0 8 1 Where...
math - solve for x without using a calculator 5^(x+1) = 25 i know that x would ...
algebra homework - please check my answers. Solve the logarithmic equation. Be ...
math - mathematically Evaluate without using tables 2 log base 10 raised 2 power...
Math Help Please - Which of the following expressions is equal to log (x sqrt-y...
LOGARITHMS - HI THE QUESTION STATES THAT ONE SHOULD CALCULATE THE LOGS WITHOUT ...
math - Logarithm!!! Select all of the following that are true statements: (a) ...
chemistry - Please, can someone help? Evaluate log 1. This is my work up until I...
math - write as a single logarithm: -2logbase3(1/x)+(1/3)logbase3(square root of...
math(Please help) - 1) use the properties of logarithms to simplify the ...

For Further Reading

First Name:
School Subject:
Answer: