Find log base 8 of 4096.
Answer and explanation
4
8^4 = 4096
Subjects
Logarithms
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Sample exercises
Evaluate log base 4 of (256 × 64).
Answer and explanation
7
log_4(256) + log_4(64) = 4 + 3 = 7
Find log base 7 of 16807.
Answer and explanation
5
7^5 = 16807
Study notes
Logarithms as exponents
A logarithm asks which exponent produces the argument.
Grades 10–12Logarithms of products
For real logarithms: b > 0, b ≠ 1, u > 0 and v > 0.
Grades 10–12Logarithms · Formula sheet
Rules, conditions and small examples in one printable reference.
Grades 10–10Logarithms · Formula sheet
Rules, conditions and small examples in one printable reference.
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