Expand/Condense
Expand: written on Smart Board
1/4 log a - 2log b
What are the implied bases for logx and lnx?
logx: 10 and lnx: e
log7 15x + log -13 = 6
invalid
Suppose $6,500 is put into an account that pays an annual rate of 4% compounded weekly. How much will be in the account after 40 years?
ln x = -5
0.0067
Condense: 1/3log a + 2log (b+1)
log a1/3(b+1)2
log5 1 =
0
ln x + ln 7 = ln (x + 12)
x = 2
Suppose $9,500 is put into an account that pays an annual rate of 2% compounded continuously. How much will be in the account after 20 years?
$14,172.30
log6 (1/36)
-2
Expand: log 5x4y2 / z3
log 5 + 4log x + 2log y - 5log z
ln (-10) =
undefined
log5 (x2 + 4) = 3
+11, -11
Suppose $15,000 is put into an account that pays an annual rate of 6.99% compounded quarterly. How much will be in the account after 18 years?
$52,215.70
ex+4 = 63
0.14
Condense: 8lnx + 1/2lny + 5lnz - ln9
ln x8y1/2z5 /9
ln e =
1
2log2 (x - 9) = 18
521
Find the rate at which the population of elephants is declining if there were 682 in the beginning and only 254 after 13 years.
7.3%
53x = 25x+1
x = 2
Expand: ln ex2/(y3z)
1+ 2lnx - 3lny - lnz
log 10 =
1
log4 (x - 3) - log4 9 = 1
x = 39
Find the rate at which the population of spotted lantern flies is increasing if there were 300 in the beginning and 986 after 5 years
26.9%
log(-6x + 2) = log(x2 +10)
x = -2, -4