Gateway Quiz Section06LogarithmTest

Simplify the expression: $3\ln(e^{4x})-2\ln(e^5)$

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

Simplify the expression: $\ln(e^3\cdot x) + \ln({1\over x})$

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

The expression $\log3+2\log\sqrt a$ can be written as $\log(z)$. What is $z$?
$z =$
(Enter your answer without any functions like sine, ln, etc.)

Simplify the expression: $\ln((e^4)^{3x+1})$

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

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The expression $\log(10-x)-\log(10+x)$ can be written as $\log(z)$. What is $z$?
$z =$
(Enter your answer without any functions like sine, ln, etc.)

Simplify the expression: $4\ln({1\over e^{x+2}})$

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Simplify the expression: $e^{-3\ln t}$

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