HSF.BF.B.5 math practice. Learn by doing.

HSF.BF.B.5 practice covers understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents. Work through 8 free questions with answers and explanations, then continue in the related math games.

Grade 111 mapped skills

What it covers

Skills aligned to HSF.BF.B.5

Logarithm rules

Grade 1117 questions

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8 free questions · 0/0 correct

Practice playeasy

Simplify: $\log_{5}(25)$ .

$5^{2} = 25$ , so $\log_{5}(25) = 2$ .

Practice playeasy

Which rule combines $\log a + \log b$ into a single logarithm?

$\log a + \log b = \log(ab)$ is the product rule.

Practice playeasy

Simplify: $\log_{2}(16)$ .

$2^{4} = 16$ , so $\log_{2}(16) = 4$ .

Practice playeasy

Which rule rewrites $3\log a$ as a single logarithm?

$3\log a = \log(a^{3})$ is the power rule.

Practice playeasy

Simplify: $\log_{3}(9)$ .

$3^{2} = 9$ , so $\log_{3}(9) = 2$ .

Practice playeasy

Simplify: $\log_{3}(27)$ .

$3^{3} = 27$ , so $\log_{3}(27) = 3$ .

Practice playeasy

Simplify: $\log_{2}(32)$ .

$2^{5} = 32$ , so $\log_{2}(32) = 5$ .

Practice playeasy

Simplify: $\log_{10}(1000)$ .

$10^{3} = 1000$ , so $\log_{10}(1000) = 3$ .

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Tests that assess these skills:

ACT MCAP NY State Math PARCC PSAT/NMSQT

Test reporting domains

ACT All grades: Preparing for Higher Math AK STAR Grade 9: Functions ATLAS Algebra II: Functions CMAS High school: Functions DC CAPE Algebra I: Building Functions DC CAPE Algebra II: Building Functions

Nearby standards

HSF.BF.B.3 HSF.IF.A.2 All Common Core standards