Explain to Noah Clue why the following logarithmic properties are true. Be sure to demonstrate with examples and explain it well enough so that Noah could relay the information to Atta Loss with authority.

log (a*b) = log (a) + log (b)
log (a^b) = b * log (a)

Questions 7-8. use the following table to answer. year 2006 2007 2008 2009 2010 2011 2012 2013 cpi 201.6 207.342 215.303 214.537 218.056 224.939 229.594 232.957 7. suppose you bought a house in 2006 for $120,000. use the table above to calculate the 2013 value adjusted for inflation. (round to the nearest whole number) 8. suppose you bought a house in 2013 for $90,000. use the table above to calculate the 2006 value adjusted for inflation. (round to the nearest whole number)