Algebra 2 WorksheetsGrades 10–11–12

Logarithmic & Exponential Equations Worksheets

Solve logarithmic and exponential equations for exact rational and integer solutions.

Logarithmic & Exponential Equations

Seed #104729

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Solve each logarithmic or exponential equation for x.

Solve for x: log₃(2x + 17) = 2

Solve for x: log₄(2x + 74) = 3

Solve for x: 3^{2x + 8} = 81

Solve for x: 4^{3x − 10} = 16

Solve for x: log₃(x + 85) = 4

Solve for x: 3^{3x − 4} = 9

Solve for x: log₂(2x + 14) = 2

Solve for x: log₂(4x − 16) = 4

Solve for x: log₂(4x + 32) = 2

10)

Solve for x: log₂(4x − 34) = 1

11)

Solve for x: 4^{x + 4} = 4

12)

Solve for x: 2^{2x − 6} = 16

Solve quadratic equations using the quadratic formula or completing the square for exact rational and simplified radical roots.

Grades 9–10–11

Add, subtract, and multiply complex numbers in a + bi form and simplify powers of the imaginary unit i.

Grades 9–10–11–12

Factor polynomials to simplify rational expressions and add rational expressions with linear denominators.

Grades 10–11–12

Divide quadratic and cubic polynomials by linear binomials (x − r) with exact quotients and remainders.

Grades 9–10–11–12

Find composite functions f(g(x)) and algebraic inverse functions f⁻¹(x).

Grades 10–11–12

Find the nth term and partial sums of finite arithmetic and geometric sequences and series.

Grades 9–10–11–12

Add, multiply, find determinants, and compute inverses of 2×2 SVG matrices.

Grades 10–11–12