Solve exponential equations using a common base
Solve an exponential equation b^(px+q) = N algebraically by rewriting N as a power of b. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Solve for x.
2x = 8
Answer: 3
See one solved, step by step
Solve for x.
2x + 3 = 64
📘 Worked solution
12x + 3 = 64Start with the exponential equation.
2Powers of 2: 21 = 2, 22 = 4, 23 = 8, 24 = 16, 25 = 32, 26 = 64List powers of 2 until one matches 64 — that gives the exponent needed on the left.
326 = 64, so x + 3 = 6Since the bases match, the exponents must be equal.
4x = 6 - 3 = 3Subtract 3 from both sides to isolate x.
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