If log 2 = 0.3010 and log 3 = 0.4771, find log 12.
Logarithms
Original Khojo Papers practice question — not from a past board paper.
The logarithm of a product is the sum of the logarithms, log(mn) = log m + log n. The logarithm of a quotient is the difference, log(m/n) = log m − log n. The logarithm of a power is the index times the logarithm, log(mn) = n log m.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
All three hold only for logarithms to the same base and for positive numbers.
From the same topic and chapter, at a similar level.
If log 2 = 0.3010 and log 3 = 0.4771, find log 12.
Logarithms
Solve for x: log2 x + log2 (x − 2) = 3.
Logarithms
If log10 x = 2, find x.
Logarithms
Simplify log 2 + log 5 to base 10.
Logarithms
Express log(a2b3/c) in terms of log a, log b and log c.
Logarithms
Solve for x: log3(x + 1) = 2.
Logarithms