If log65 = 1.812, what is the value of log 1000 65? a. 0.1812 b. 0.00182 c. 0.604 d. 0.0604

Question

Mathematics

Marilyn

21 January, 08:57

If log65 = 1.812, what is the value of log 1000 65? a. 0.1812 b. 0.00182 c. 0.604 d. 0.0604

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Answers (1)

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Larry Medina · Answer 1

We know that : log 65 = 1.812 or: log (10) 65 = 1.812 (logarithm with the base of 10)

log (1000) 65 = log (10^3) 65 = 1/3 * log (10) 65 =

/ this is because the logarithmic rule is: log (a^b) x = 1/b * log (a) x /

= 1/3 * 1.812 = 0.604

Answer: c. 0.604