Properties Of Logarithms

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

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

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

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

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

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

Given log(3^2)= 0.631 and log(3^7)= 1.771, what is log(3^14)?

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

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

Which of the following is equivalent to log9w?

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

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 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?

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

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

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

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

What are the domain and range of mc017-1

Which of the following shows the extraneous solution to the logarithmic equation below?

The two expressions below have the same value when rounded to the nearest hundredth. What is the approximate value of to the nearest hundredth?

If , what is the value of x?

Which is the graph of y=-log(x-2)+3

One brand of vinegar has a pH of 4.5. Another brand has a pH of 5.0. The equation for the pH of a substance is pH = -log[H+], where H+ is the concentration of hydrogen ions. What is the approximate difference in the concentration of hydrogen ions between the two brands of vinegar?

A student showed the steps below while solving the equation by graphing. Step 1: Write a system of equations: Step 2: Use the change of base formula to rewrite the equations: Step 3: Graph the two equations: In which step did the student make the first error?

What is rewritten using the power property?

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%. The second car depreciates at an annual rate of 15%. What is the approximate difference in the ages of the two cars?

Which of the following shows the graph of y = -(2)x - 1?

What is the solution of logx729=3

For what values of x does

What is written as a single logarithm?

An equation for the depreciation of a car is given by y = A(1 - r)t, where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The current value of a car is $12,282.50. The car originally cost $20,000 and depreciates at a rate of 15% per year. How old is the car?

What is the range of the function f(x) = -2(6x) + 3?