Laws of logarithms
Combine logarithms with the product, quotient, and power laws, then evaluate the result exactly. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Use the quotient law to write this as a single logarithm, then evaluate it.
log5(625) - log5(125)
Answer: 1
See one solved, step by step
Use the power law to rewrite this as a single logarithm, then evaluate it.
2 log5(125)
📘 Worked solution
12 log5(125) = log5(1252)Power law: a coefficient in front of a log becomes an exponent inside it.
2= log5(15625)125^2 = 15625.
3= 65^6 = 15625, so the log evaluates to 6.
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