Test Section06LogarithmTest

Simplify the expression: $\log(x^2)-2\log(10x)$

(Enter your answer without any functions like sine, ln, etc.)

Simplify the expression: $t\ln(e^t)$

(Enter your answer without any functions like sine, ln, etc.)

The expression ${1\over2}\ln(4)+{1\over4}\ln(16)$ can be written as $\ln(z)$. What is $z$?
$z =$
(Enter your answer without any functions like sine, ln, etc.)

The expression $3\log(2x)-{1\over2}\log(x^2+4)$ can be written as $\log(z)$. What is $z$?
$z =$
(Enter your answer without any functions like sine, ln, etc.)

The expression $\ln(a^2)+2\ln(b)+{1\over2}\ln(c^4)$ can be written as $\ln(z)$. What is $z$?
$z =$
(Enter your answer without any functions like sine, ln, etc.)

Simplify, without using a calculator, the expression: $\ln e\over\ln(e^2)$

(Enter your answer without any functions like sine, ln, etc.)

Simplify the expression: $\ln(e\cdot x)-\ln(x)$

(Enter your answer without any functions like sine, ln, etc.)

The expression $4\log x+{1\over2}\log y$ can be written as $\log(z)$. What is $z$?
$z =$
(Enter your answer without any functions like sine, ln, etc.)

Simplify the expression: $\log(100^z)$

(Enter your answer without any functions like sine, ln, etc.)

Simplify the expression: $\log({10^t\over1000})$

(Enter your answer without any functions like sine, ln, etc.)