Advanced Functions (MHF4U) · Exponential and Logarithmic Functions

Solving exponential equations with a common base

Solve exponential equations by rewriting both sides with the same base and matching exponents. Unlimited questions, five difficulty levels, and a full worked solution every time — free.

Practice this skill Curriculum: MHF4U-EL3.1

Try one

Solve for x.

2^{x - 2} = 8

Answer: 5

See one solved, step by step

Solve for x.

2^2x = 1

📘 Worked solution

12^2x = 1Start with the equation.

21 = 2⁰Write the right side as a power of 2.

32^2x = 2⁰Both sides now share the base 2.

42x = 0Matching bases means the exponents are equal.

5x = 02 = 0Divide both sides by 2 to isolate x.

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