Question 1:

Trin has decided to save money to buy a new computer. She invests $800 in an account that earns 5% per year, compounded quarterly.

If she wants $1000 and the bank uses the equation1000 = 800(1.0125)n,wherenis measured in quarters of a year (three-month increments).It will take_________ months

Question 2:

y = Log6000 is equivelnt to b=a^c, what are the values of a, b, and c.

Question 3:

A hydrogen ion concentration of 6.37 x 10-9has a pH of______ (to 2 decimal places).

Hydrogen ion with a pH of 4.1 has a concentration of ____x 10-5. (to four decimal places.

Question 4:

Describe how the ability to change an equation from logarithmic form to exponential form can help you determine the value of a logarithm.Include an example with you explanation.

Question 5:

Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections. The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection. The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.

Give an exponential equation to represent the percentage of the original gallium-67 after

tdays.

Question 6:

Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections. The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection. The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.

After 4 days, there is ____% remaining.

After about___ days, 1% of the original Gallium-67 will remain.Round your answer to 2 decimal places

Question 7:

Solve 124 = 3(4)2x-1for x using logarithms.