Solving exponential equations with logarithms
Solve exponential equations that don't share a common base by taking the logarithm of both sides. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Solve for x. Round your answer to two decimal places.
3x = 38
Answer: 3.31
See one solved, step by step
Solve for x. Round your answer to two decimal places.
5x + 2 = 30
📘 Worked solution
15x + 2 = 30Start with the equation.
2(x + 2) · log(5) = log(30)Take the log of both sides and use the power law to bring the exponent down.
3x + 2 = log(30)/log(5) = 2.1133Divide by log(5).
4x = 0.11Move 2 to the other side to finish isolating x.
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