Question

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. 12) log 3 (x+6) + log 3 (x - 6) - log 3x = 2 A) (-3) B) (12, -3) C) (12) D) 12) — Solve the problem. 13) Find out how long it takes a $3100 investment to double if it is invested at 8% compounded semiannually. Round to the nearest tenth of a year. Use the formula A-11-| 13) ___ A) 8.8 years B) 9.2 years C) 8.6 years D) 9 years 14) 14) The formula A - 2000.033t models the population of a particular city, in thousands, t years after 1998. When will the population of the city reach 297 thousand? A) 2010 B) 2011 C) 2013 D) 2012 15) Solve. 15) The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years after 2000 is given by the exponential growth model A - 32000.06 How much did you initially invest in the account? A) $1600.00 B) $3397.88 C) $192.00 D) $3200.00

Answer 1

log,(X+6) + lafz (7-6) -log 2 2 log 3 (2+6)(x-6)-log; x = 2 log; (2+) (-6) = 2 » long (3 230) = 2 236 29 * 72-36=92 322-93-3620 22-1271 +37-3620 XC9-12) +3(-12)=0 (-12) (X+3) 20 39 x-1220 = 2212 +320) 3 since leggere does not terke negatre value so x=-3 is not in domain So 1 7-{123), opta © is conect-