1. Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs.

ln(1/4^k)

Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c*ln(h)

ln(1/4^k) =

2. Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs.

log(sqrt*x^9*y^-6) =

Show your work and explain, in own words, how you arrived at your answer.

3.Condense the expression to a single logarithm using the properties of logarithms.

Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c*log(h)

log(x)-1/2log(y)+5log(z) =

4. Use properties of logarithms to evaluate without using a calculator.

9log[8](2)+log[8](64)/3log[8](4) =

5. Use like bases to solve the exponential equation.

(1/64)^3n*8=2^7

Enter the exact answer

n=

6.Solve for the indicated value, and graph the situation showing the solution point. The formula for measuring sound intensity in decibelsD is defined by the equation D=10log(I/I[0]) using the common (base 10) logarithm whereI is the intensity of the sound in watts per square meter and I[0]=10^?12is the lowest level of sound that the average person can hear. How many decibels are emitted from a jet plane with a sound intensity of 8.4?10^2watts per square meter?

Round answer to three decimal places

The jet plane emits____________decibels at8.4?10^2 watts per square meter.

Select the correct graph of the situation showing the solution point.

2007 ID 150 100- (c) 50 0 400 800 1200 1600 2000 209 1D 150 100 (d) 50 400 800 1200 1600 2000200 D 150 100 (e) 50 O 400 800 1200 1600 2000