Logarithmic Function Manipulation Worksheet
A Grade 10 math worksheet focusing on manipulating and simplifying logarithmic expressions using properties of logarithms.
Includes
Standards
Logarithmic Function Manipulation
Name:
Date:
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Read each question carefully and answer to the best of your ability. Show all work where applicable.
1. Which of the following is equivalent to log₅(x) + log₅(y)?
log₅(x + y)
log₅(xy)
(log₅x)(log₅y)
log₁₀(xy)
2. The expression log(x²) can be rewritten as:
2log(x)
log(2x)
log(x) + log(2)
log(x) * log(x)
3. The inverse of an exponential function is a function.
4. The property logₐ(M) - logₐ(N) = logₐ( ) is known as the quotient property of logarithms.
5. Expand the logarithmic expression: log₃(27x⁵)
6. Condense the logarithmic expression: 2log(a) + 3log(b) - log(c)
7. log₂(8) = 3
True
False
8. log(x) / log(y) = log(x - y)
True
False
9. Solve for x: log₂(x + 1) + log₂(x - 1) = 3
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