Exponential and Logarithmic Functions - Test Test Answers

Which function is shown in the graph?

What is the solution to the given equation? log sub 6 4 x squared minus the log base 6 of x is equal to 2

What is the approximate value of the log base 6 of 25 ?

A population of insects increases at a rate of 1 point 5 percent per day. About how long will it take the population to double?

What is the true solution to the given equation? 2 log sub 3 6 x minus log sub 3 of 4 x is equal to 2 log sub 3 open paren x plus 2 close paren

The height of a plant over time is shown in the following table. Using a logarithmic model, what is the best estimate for the age of the plant when it is 19 inches tall? Plant Height t , time in months h , height in inches 1 18 2 18 point 2 1 3 18 point 3 3 4 18 point 4 2 5 18 point 4 8 6 18 point 5 4

Which of the following is true about the base b of a logarithmic function?

Which graph shows the solution to the equation? the log base 3 of x is equal to the log base 0 point 5 of x

What is the solution to log sub 5 of open paren x plus 30 close paren is equal to 3 ?

What is the value of the log base 625 of 5 ?

What is the domain of y is equal to log sub 4 of open paren x plus 3 close paren ?

Which graph represents an exponential decay function?

Calvin deposits 400 dollars in a savings account that accrues 5 percent interest compounded monthly. After c years, Calvin has 658 point 8 0 dollars Makayla deposits 300 dollars in a different savings account that accrues 6 percent interest compounded quarterly. After m years, Makayla has 613 point 0 4 dollars What is the approximate difference in the number of years that Calvin and Makayla have their money invested?

What is the true solution to the logarithmic equation? log sub 2 of 6 x minus log sub 2 of open paren square root of x close paren is equal to 2

The range of which function is open paren 2 comma infinity close paren ?

What is the solution to the equation 2 raised to the x plus 4 power minus 12 is equal to 20 ?

What is the solution of log sub 2 of open paren 3 x minus 7 close paren is equal to 3 ?

Which of the following shows the extraneous solution to the logarithmic equation? log sub 3 of open paren 18 x cubed close paren minus log sub 3 of 2 x is equal to the log base 3 of 144

If the equation is solved by graphing, which statement is true? the log of open paren 6 x plus 10 close paren is equal to the log base 1 half of x

What is the solution to 2 log sub 9 x is equal to log sub 9 8 plus log sub 9 of open paren x minus 2 close paren ?

If you are given the graph of h of x is equal to the log base 6 of x , how could you graph m times x is equal to log sub 6 of open paren x plus 3 close paren ?

The magnitude, cap m , of an earthquake is defined to be cap m is equal to the log of cap i over cap s , where cap i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and cap s is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 35 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.

An equation for the depreciation of a car is given by y is equal to cap A times open paren 1 minus r close paren to the t th power , where y is equal to current value of the car, cap A is equal to original cost, r is equal to rate of depreciation, and t is equal to time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10 percent Approximately how old is the car?

Which of the following shows the graph of y is equal to 4 to the x th power plus 3 ?

How does the value of log_2⁡100 compare with the value of the log base 6 of 20 ?