Dashboard

Topics

Exponents & Logarithms Rounding & Error Sequences & Series Counting & Binomials Proof and Reasoning Complex Numbers Algebra Skills

Calculator Skills

Review Videos Formula Booklet

Dashboard

Topics

Exponents & Logarithms Rounding & Error Sequences & Series Counting & Binomials Proof and Reasoning Complex Numbers Algebra Skills

Calculator Skills

Review Videos Formula Booklet

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Exponents & Logarithms

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Exponents & Logarithms

Exponents, roots and rational powers, logarithm laws and change of base, and exponential and logarithmic functions and equations.

Progress trend

2 weeks

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Follow the recommended order, or open any concept.

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Exponential Algebra

Exponential notation and algebra, including laws for zero and negative exponents, multiplying and dividing powers with the same base, products and quotients with the same exponent, powers of powers, equating exponents in exponential equations, and rationalizing denominators when needed.

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Radicals and Roots

Square roots and nth roots, including n√a=an1, rational exponents anm, simplifying radicals, roots of negative numbers, and rationalizing denominators using roots or conjugates.

0/0 key exercises

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Logarithm algebra

Logarithm algebra including the definition logab=x⇔ax=b, base 10 and natural logs, evaluating logs exactly or with technology, and using the rules logax+logay=loga(xy), logax−logay=loga(x/y), loga(xm)=mlogax, change of base, and logarithms to solve exponential equations.

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Exp & Log functions

Exponential functions f(x)=ax and logarithmic functions f(x)=logax, their domains and ranges, inverse relationship and symmetry in y=x, and graphing/making sense of exponential growth and decay models such as cax+k or Abt+c.

0/0 key exercises

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/

Exponents & Logarithms

/

Home

Exponents & Logarithms

Exponents, roots and rational powers, logarithm laws and change of base, and exponential and logarithmic functions and equations.

Progress trend

2 weeks

All time

0%overall progress

Sign up to view your learning progress

Learning path

Follow the recommended order, or open any concept.

Start Here

Exponential Algebra

Exponential notation and algebra, including laws for zero and negative exponents, multiplying and dividing powers with the same base, products and quotients with the same exponent, powers of powers, equating exponents in exponential equations, and rationalizing denominators when needed.

0/0 key exercises

Thumbnail for Exponential Algebra

Radicals and Roots

Square roots and nth roots, including n√a=an1, rational exponents anm, simplifying radicals, roots of negative numbers, and rationalizing denominators using roots or conjugates.

0/0 key exercises

Thumbnail for Radicals and Roots

Logarithm algebra

Logarithm algebra including the definition logab=x⇔ax=b, base 10 and natural logs, evaluating logs exactly or with technology, and using the rules logax+logay=loga(xy), logax−logay=loga(x/y), loga(xm)=mlogax, change of base, and logarithms to solve exponential equations.

0/0 key exercises

Thumbnail for Logarithm algebra

Exp & Log functions

Exponential functions f(x)=ax and logarithmic functions f(x)=logax, their domains and ranges, inverse relationship and symmetry in y=x, and graphing/making sense of exponential growth and decay models such as cax+k or Abt+c.

0/0 key exercises

Thumbnail for Exp & Log functions

Problem bank

Practice by difficulty level.

IB: 5

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38 problems

IB: 6

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24 problems

IB: 7

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9 problems

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Problem bank

Practice by difficulty level.

IB: 5

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38 problems

IB: 6

Upgrade to unlock

24 problems

IB: 7

Upgrade to unlock

9 problems

Browse untimed question bank

Performance metrics

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Speed Score

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Mastery Score

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Estimated range: 0%-50%

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