Is Goblins free for teachers?

Yes. Goblins offers a generous free tier that includes 1 live feedback assignment per week, insights on student mastery and replays, and the ability to upload your own content. The Max plan adds unlimited assignments, superadaptive mode, grade exports, standards growth reports, and SSO/LMS integration, with per-student pricing for schools and districts.

How does Goblins work?

Three simple steps: (1) Share an assignment from thousands of standards-aligned topics using a share code. (2) Students speak and draw their thinking naturally, and Goblins responds with Socratic questioning that sounds just like their teacher. (3) Teachers get real-time formative insights showing what students struggle with and suggestions to inform instruction.

Does Goblins prevent cheating?

Yes. Goblins uses a purpose-trained AI model that evaluates cheating signals in real time. It can detect when students are copying answers, using external tools inappropriately, or not genuinely working through problems. Copy-pasting answers is also blocked.

Can I use my own voice with Goblins?

Yes. Teachers can record their voice and take a selfie to create a custom 3D avatar in about 30 seconds. Students then hear help in their own teacher's voice and see a familiar face, making the experience more personal and effective.

What math levels does Goblins cover?

Goblins covers math from Grade 5 through AP Calculus, including thousands of standards-aligned topics. Teachers can also upload their own content for custom assignments at any level.

Is Goblins FERPA compliant?

Yes. Goblins is FERPA and state compliant. Student data privacy and security are a top priority.

Does Goblins support English Language Learners?

Yes. Goblins supports 30+ languages so teachers don't have to translate every worksheet. It is especially helpful for ELL students who need accessible math instruction in their native language.

MA.FR.2.d

Use laws of exponents and properties of logarithms to solve equations and simplify expressions.

Example Problems

Evaluate:

\log_4(4)

Evaluate:

\log_9(1)

Evaluate:

\log_8(8)

Khan Academy Resources

Intro to logarithm properties Logarithm properties review Logarithm change of base rule intro Intro to Logarithms Solving exponential equations using logarithms Justifying the logarithm properties Evaluate logarithms (advanced)Properties of exponents intro (rational exponents)Evaluate logarithms Fractional exponents Use the properties of logarithms Unit-fraction exponents Relationship between exponentials & logarithms Rewrite exponential expressions Use the logarithm change of base rule Solve exponential equations using logarithms: base-2 and other bases Solve exponential equations using logarithms: base-10 and base-e Rational exponents challenge Solve exponential equations using exponent properties (advanced)Equivalent forms of exponential expressions Evaluate logarithms: change of base rule Properties of exponents (rational exponents)Solve exponential equations using exponent properties Evaluating logarithms (advanced)Proof of the logarithm change of base rule Proof of the logarithm product rule Proof of the logarithm quotient and power rules Intro to logarithm properties (1 of 2)Intro to logarithm properties (2 of 2)Evaluating logarithms: change of base rule Using the logarithmic product rule Using the properties of logarithms: multiple steps Using the logarithmic power rule Relationship between exponentials & logarithms: graphs Solving exponential equations using logarithms: base-10 Evaluating fractional exponents: negative unit-fraction Exponential equation word problem Rewriting quotient of powers (rational exponents)Evaluating fractional exponents Solving exponential equations using exponent properties Intro to rational exponents Rewriting roots as rational exponents Evaluating fractional exponents: fractional base Using the logarithm change of base rule Solving exponential equations using logarithms: base-2 Rewriting exponential expressions as A⋅Bᵗ Solving exponential equations using exponent properties (advanced)Equivalent forms of exponential expressions Relationship between exponentials & logarithms: tables Graphical relationship between 2ˣ and log₂(x)Exponential equation with rational answer Evaluating quotient of fractional exponents

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