Solving logarithmic equations
Solve logarithmic equations, including ones that combine into a quadratic and need an extraneous root check. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Solve for x.
log3(x - 4) = 4
Answer: 85
See one solved, step by step
Solve for x.
log3(x) + log3(3) = 5
📘 Worked solution
1log3(x) + log3(3) = 5Start with the equation.
2log3(3x) = 5Product law: combine the two logs into one.
33x = 35 = 243Rewrite in exponential form.
4x = 2433 = 81Divide both sides by 3 to isolate x.
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