Understanding Exponents and Logarithms Quiz

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Questions and Answers

What is the value of 'x' in the expression 'log of 125 to the base 5'?

$x = 3$

What is the exponential form of the expression 'logarithm of 81 to the base 3'?

$3^4 = 81$

What does the expression 'logarithm of $a$ to the base $b$' represent in terms of exponentiation?

It represents the question 'what power must $b$ be raised to in order to obtain $a$?'

What does the expression 'logarithm of $c$ to the base $d$' tell us about the relationship between $c$ and $d$?

<p>It tells us the exponent to which $d$ must be raised to obtain $c$.</p>
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Explain the connection between logarithms and exponents.

<p>Logarithms and exponents are closely related. The exponent represents the power to which the base must be raised to obtain the argument, and the logarithm represents the exponent.</p>
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