Logarithm Rules Mastery
Reinforce understanding and application of logarithm rules with this comprehensive Grade 12 math worksheet.
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Standards
Logarithm Rules Mastery
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Date:
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Read each question carefully and apply the appropriate logarithm rules to solve. Show all your work for full credit.
1. Which of the following is equivalent to log(A) + log(B)?
log(A + B)
log(A * B)
log(A / B)
log(A - B)
2. If log_b(x) = y, then which of the following is true?
x = b^y
y = b^x
b = x^y
x = y^b
3. The rule states that log_b(x^k) = k * log_b(x).
4. The change of base formula allows you to convert a logarithm from one base to another: log_b(x) = log_c(x) / .
5. Expand the expression: log( (x^3 * y) / z^2 )
6. Condense the expression: 2log(a) - 3log(b) + log(c)
7. log(0) is undefined.
True
False
8. The logarithm of 1 with any valid base is always 0.
True
False
9. Solve for x: log_2(x) + log_2(x-2) = 3
10. Given log_10(2) ≈ 0.301 and log_10(3) ≈ 0.477, approximate log_10(18) without using a calculator, showing your steps.