1.) The magnitude R (on the Richter scale) of an earthquake of Intensity "I" is defined as R = log I I_o = minimum intensity used for comparison.

I_o

Ms. Cohen felt an earthquake in Los Angeles that had an intensity of (5 10 ⁶)(I_o). What was its magnitude, to one decimal place, on the Richter scale? explain work.

2.) Find the error(s) and solve the problem correctly. Solve. show and explain work. log₄ (x + 3) + log₄ (x 3) = 2

Answer: log₄ (x + 3) + log₄ ( x 3) = 2

log₄ (x + 3 + x 3) = 2 log₄ (2x) = 2 4² = 2x 16 = 2x 8 = x

3.) How do we know that e^x and Ln x are inverses of each other?