University:
Missouri State University
Course:
MTH 136 | Precalculus 1
Academic year:

2022
Views:

122

Pages:

5
Author:

Raphael Burgess

TODAY'S AGENDA • Socrative Results from Yesterday • Warm Up Check HW • Lesson: Condensing Logs • PRACTICE Quiz: Tomorrow! part NON-CALCULATOR 30% 34% 61% 52% 77% 87% 94% 65% 7116 1. Identify the graph. A) y = 2 ^ x y = - 2 ^ x y = 2 ^ (- x) y = - 2 ^ (- x) 2 ^ (- x) - 2 ^ (- x) 2 ^ x 01 2 2 20% 74% 32% A-P 77% 94% P 62% 71% 3. How much interest would you earn if you invested $800 at a 6% Interest rate for 15 years compounded continuously? A $1962.68 $1167.68 $2767,68 D $365,68 AP(1+) and A = Pe" A=Pert A=1967.68 94% 94% 71% 8. Evaluate. NO CALCULATOR. A 1/3 B 1 0 log31 = x X 0-1 3=1 9. Evaluate. No Calculator. A 2 B2 c) -6 1/2 log366 = X 36=6 You should be able to do these 5 things!! 1. Write in exponential form: log_2(64) = 6 Answer: 2 ^ 6 = 64 2. Write in logarithmic form: 3 ^ - 1 = 1/3 Answer: log_3(1/3) = - 1 3. Evaluate: log_4(1) NO CALCULATOR Answer: 4 ^ boxed B =1; ?= 0 If using your calculator, remember to use the change of base formula and enter log 1 log 4 4. What is the value of x ? log_2(x) = 5 Answer: 2 ^ 5 = x ,x=32 5. Write in expanded form: log((a * sqrt(b))/(c ^ 6)) (Apply the "properties of logs" rules) Answer: log(a * sqrt(b)) - log(c ^ 6) log(a) + log(sqrt(b)) - log(c ^ 6) log(a) + log(b ^ (1/2)) - log(c deg) log(a) + 1/2 * log(b) - 6 * log(c) Homework Check Practice Problems: Complete on a separate paper. Use change of base formula and round answer to 2 decimal places. Expand the following 1. log_7(40.71) 5. log_3(3x) . ln((2x ^ 3)/pi) 2. log_(1/4)(- 1.16) ^ 5 6. log_7((2x)/5) 10. log((root(pi, 4))/(yz)) 3. log_20(0.125) - 0.69 7. log_5(x) * sqrt(y) 4. log_3(0.015) - 3.82 8. log_9(x ^ 2 * y ^ 3) 5. log_3(3) + log_3(x) 8. 2 * log_9(x) + 3 * log_9(y) 6. log_7(2) + log_7(x) - log_7(5) 9. ln(2) + 3 * ln(x) - ln(z) 7. log_5(x) + 1/2 * log_5(V) 10. 1/4 * log(x) - log(y) - log(z)