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# Common Core Standard HSF-BF.B.5 Questions

(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

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Grade 11 Exponents CCSS: HSF-BF.B.5, HSF-LE.A.4
Grade 11 Functions and Relations CCSS: HSF-BF.B.5
Evaluate. Write in simplest form. $10^(log_(10) 3)$
1. 3
2. 10
3. 1000
4. 1/3
5. none of these are correct
Evaluate. Write in simplest form. $e^(2 ln 10)$
1. $10$
2. $100$
3. $-2$
4. $1/2$
5. none of these are correct
Write $4^2 = x$ in logarithmic form.
1. $log_x4=2$
2. $log_4x=2$
3. $log_x2=4$
4. $log_4 2=x$
Grade 11 Exponents CCSS: HSF-BF.B.5, HSF-LE.A.4
What is the exact solution to $8*2^x = 3 ?$
1. $x = log_2(3/8)$
2. $x = log_2(3)/8$
3. $x = log_2(3/16)$
4. $x = log(3/8)$
Write $log_5 36=x$ in exponential form.
1. $36x = 5$
2. $5^x = 36$
3. $x^5 = 36$
4. $10^x = 36$