Definition of logarithms
Logarithms · Mathematics
Study notes
Q: Evaluate (a) log₂(32) (b) log₅(1/25) (c) log₁₀(0.001). (a) 2^? = 32. 2⁵ = 32, so log₂(32) = 5. (b) 5^? = 1/25 = 5⁻², so log₅(1/25) = -2. (c) 10^? = 0.001 = 10⁻³, so log₁₀(0.001) = -3.
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Logarithms · Mathematics
Q: Evaluate (a) log₂(32) (b) log₅(1/25) (c) log₁₀(0.001). (a) 2^? = 32. 2⁵ = 32, so log₂(32) = 5. (b) 5^? = 1/25 = 5⁻², so log₅(1/25) = -2. (c) 10^? = 0.001 = 10⁻³, so log₁₀(0.001) = -3.