HSF.BF.B.5 Tutor Intake -- Logarithms as Inverses of Exponents

This short check helps your tutor understand where to start. Answer each
question on your own. If you are not sure, give your best try — every
response helps your tutor plan your sessions.

Grade 9·11 problems·~13 min·Common Core Math - HS Functions·group·hsf-bf-b-5

Work through problems with immediate feedback

Concepts

Which statement best describes what $\log_2(8)$ means?

2 multiplied by 8

The exponent you put on 2 to get 8

The exponent you put on 8 to get 2

The square root of 8 in base 2

Which exponential equation is equivalent to $\log_5(125) = 3$ ?

$3^5 = 125$

$5^3 = 125$

$125^3 = 5$

$5^{125} = 3$

What is the value of $\log_b(1)$ for any valid base $b > 0$ , $b \ne 1$ ?

Enter your answer as a number.

Procedures

Evaluate $\log_3(81)$ .

Enter your answer as a number.

Evaluate $\log_2\!\left(\tfrac{1}{8}\right)$ .

Enter your answer as a number.

If $\log_b(x) = 4$ and $b = 10$ , what is $x$ ?

Enter your answer as a number.

Which expression equals $\log_4(4^7)$ ?

$4^7$

$7^4$

$\log_4(7)$

Simplify: $10^{\log_{10}(37)}$

$\log_{10}(37)$

$37$

$10 \times 37$

$10 + 37$

You're viewing 2 of 3 sections.

Create a free account to continue the full exercise set and save your progress.

Create free account

0 of 8 answered

Answer all problems to submit.

Was this practice set helpful?

Report a problem with this page

Curriculum materials by K12worX, licensed under CC BY 4.0. You may share and adapt them, including commercially, with credit.

Questions or problems?

We read every message. Contact us →

How it works Report a problem Privacy Terms