Properties of Logarithms questions fully solved & updated
2025-2026
What is log15(2^3) rewritten using the power property? - answer d. 3log(15^2) What is log5(4 * 7) + log(5^2) written as a single log? - answer d. log(5^56) What is 2log5(5x^3) + 1/3 log5 (x^2 + 6) written as a single logarithm? - answer b.log5(25x^6)3√x^2 + 6 Which expression is equivalent to log3 (c/9)? - answer c. log3 c - log3(9) What is 2(log(3^8)+ log3(3^4 - 7^2)) written as a single logarithm? - answer b. log3(2z^2) 1 / 2
Which expression is equivalent to logw (x^2 -6)^4 / 3√x^2 + 8) ? - answer c. 4logw(x^2 -6) - 1/3 logw(x^2 + 8) Given log(3^2)= 0.631 and log(3^7)= 1.771, what is log(3^14)? - answer c. 2.402 Which expression is equivalent to log(8^4a) (b-4)/c^4)? - answer b. log(8^4) + log(8^4) + log(8(b-4)-4log(8^c) Which expression is equivalent to log12 (1/2 / 8w)?
- answer b. log(12^1/2) - (log12^8 + 12w)
- answer a. log1/9 -logk
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Which of the following is equivalent to log9w? - answer a. log9 + logw Which expression is equivalent to log6(4a) (b-4/c^4)? - answer b. log8(4) + log8(a) +(log8(b- 4)-4log8c) Which of the following is equivalent to log (1/9)/k?
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square