Exponential Equations
Conversion problems
Condensing/Expanding
Logarithmic Equations
100
-3e9x-1 + 6 = -58; Solve for X.
x=0.451
100
Write 75=16807 in logarithmic form
log716807=5
100
Condense the logarithm; log6 x + log6y + 6log6 z
log6 (xyz6)
100
83x=32; Solve for X.
x=5/9
200
Ms. Velasquez's lumber company has 1,200,00 trees. She plants plans to harvest 7% of the trees each year. How many years will it take Ernesto's company to harvest 750,000 trees. (Write the exponential equation and solve).
Exponential Equation:
y=1,200,000(0.93)X
Number years: 6.5 years
200
Write (1/3)2=9 in logarithmic form.
log1/39=2
200
Condense the Logarithm; 2log5(x)+ 12log5(y)
log5 (x2 y12)
200
log2x144=2; Solve for x.
x=6
300
Is the graph a Growth or Decay?
Decay
300
Write log232=5 in exponential form.
25=32
300
Expand; log7 (23/52)
3log7(2) - 2log7(5)
300
log4(x+3) + log4(x+3) = log4(49); Solve for x.
x=4
400
-6e8x+8 -3 = -23; Solve for X.
x = 0.8496
400
Write log1/51/625=4 in exponential form.
(1/5)4=1/625
400
Expand; log5 (a3/b3)
3log5(a) - 3log5(b)
400
2 ln (x+7 )= 2.7; Solve for x.
x=-3.14257