Properties of Logarithms

What is log15(2^3) rewritten using the power property?

d. 3log(15^2)

What is log5(4 * 7) + log(5^2) written as a single log?

d. log(5^56)

What is 2log5(5x^3) + 1/3 log5 (x^2 + 6) written as a single logarithm?

b. log5(25x^6)3√x^2 + 6

Which expression is equivalent to log3 (c/9)?

c. log3 c - log3(9)

What is 2(log(3^8)+ log3(3^4 - 7^2)) written as a single logarithm?

b. log3(2z^2)

Which expression is equivalent to logw (x^2 -6)^4 / 3√x^2 + 8) ?

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)?

c. 2.402

Which expression is equivalent to log(8^4a) (b-4)/c^4)?

b. log(8^4) + log(8^4) + log(8(b-4)-4log(8^c)

Which expression is equivalent to log12 (1/2 / 8w)?

b. log(12^1/2) - (log12^8 + 12w)

Which of the following is equivalent to log9w?

a. log9 + logw

Which expression is equivalent to log6(4a) (b-4/c^4)?

b. log8(4) + log8(a) +(log8(b-4)-4log8c)

Which of the following is equivalent to log (1/9)/k?

a. log1/9 -logk

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L= 10log I/I(0), where I(0) = 10^-12 and is the least intense sound a human ear can hear. What is the approximate loudness of the dinner conversation, with a sound intensity of 10-7, Rajah has with his parents?

d. 50 Db

Which expression is equivalent to logc (x^2 - 1)/5x ?

c. logc (x^2 - 1)-(logc5 + logcx)

Given log4(3) = 0.792 and log4(21) = 2.196 what is log4(7)?

a. 1.404

Which expression is equivalent to log18 - log(p + 2)?

b. log 18/p+2

Which expression is equivalent to log3(x + 4)?

c. log3 + log(x + 4)

Properties of Logarithms - Subjecto.com

Properties of Logarithms

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What is log15(2^3) rewritten using the power property?

d. 3log(15^2)

What is log5(4 * 7) + log(5^2) written as a single log?

d. log(5^56)

What is 2log5(5x^3) + 1/3 log5 (x^2 + 6) written as a single logarithm?

b. log5(25x^6)3√x^2 + 6

Which expression is equivalent to log3 (c/9)?

c. log3 c – log3(9)

What is 2(log(3^8)+ log3(3^4 – 7^2)) written as a single logarithm?

b. log3(2z^2)

Which expression is equivalent to logw (x^2 -6)^4 / 3√x^2 + 8) ?

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)?

c. 2.402

Which expression is equivalent to log(8^4a) (b-4)/c^4)?

b. log(8^4) + log(8^4) + log(8(b-4)-4log(8^c)

Which expression is equivalent to log12 (1/2 / 8w)?

b. log(12^1/2) – (log12^8 + 12w)

Which of the following is equivalent to log9w?

a. log9 + logw

Which expression is equivalent to log6(4a) (b-4/c^4)?

b. log8(4) + log8(a) +(log8(b-4)-4log8c)

Which of the following is equivalent to log (1/9)/k?

a. log1/9 -logk

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L= 10log I/I(0), where I(0) = 10^-12 and is the least intense sound a human ear can hear. What is the approximate loudness of the dinner conversation, with a sound intensity of 10-7, Rajah has with his parents?

d. 50 Db

Which expression is equivalent to logc (x^2 – 1)/5x ?

c. logc (x^2 – 1)-(logc5 + logcx)

Given log4(3) = 0.792 and log4(21) = 2.196 what is log4(7)?

a. 1.404

Which expression is equivalent to log18 – log(p + 2)?

b. log 18/p+2

Which expression is equivalent to log3(x + 4)?

c. log3 + log(x + 4)

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