5 Questions
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 $d$?
It tells us the exponent to which $d$ must be raised to obtain $c$.
Explain the connection between logarithms and exponents.
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.
Test your knowledge of exponents and logarithms with this quiz! Learn how to convert between exponents and logarithmic form to express the same mathematical concept.
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