mar2iann2akjoy
mar2iann2akjoy mar2iann2akjoy
  • 02-07-2016
  • Mathematics
contestada

if log65 = 1.812 what is the value of log(base 1000)65 ? 0.0604 0.604 0.1812 0.001812

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olemakpadu
olemakpadu olemakpadu
  • 02-07-2016
If we have:

logₐy = (logₓy) / (logₓa)       By change of base formula.

log₁₀65 = (log₁₀₀₀65) / (log₁₀₀₀10)

(log₁₀₀₀65)  = log₁₀65 * (log₁₀₀₀10)

log(₁₀₀₀10) =  1/ (log₁₀1000) = 1/(log₁₀10³) = 1/3

(log₁₀₀₀65)  = (log₁₀65) * (log₁₀₀₀10)

(log₁₀₀₀65)  = 1.812 * (1/3)       

(log₁₀₀₀65)  = 0.604

I hope this helps.
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