Write the exponential form:
Log28=3
23=8
Write the logarithmic form:
362=1296
Log36(1296)=2
Write the exponential form:
log5(1/125)=-35-3=1/125
Write the the logarithmic form:
153=3,375
Log15(3,375)=15
What is the logarithmic formula?
Logb(a)=C <---> Bc= a
Write the exponential growth formula.
f(x)=a(1+r)x
Evaluate the logarithm:
log8(1/2)
=-1/3
Write the compound interest per year formula.
A=P(1 +r/n)nt
Evaluate the logarithm:
log6(216)
=3
What is the regular notation of a natural log?
Loge(x)
Find n.
Log21/128 =n
2n=1/128
2n=2-7
n=-7
n= 7/3
solve for x.
92x=1/27
(32)2x=1/33
34x=3-3
4x=-3
x=-3/4
Solve for x using the one to one property.
ln(x2-x)=ln 2
x=2
x=-1
Write the one to one property
logaX=logaY
X=Y
solve for x.
8x-1=2x+9
(23)x-1=2x+9
3x-3=x+9
2x-3=9
2x=12
x=6
Write the multiplication formula of log
loga(x)(y)=logax+logay
You invest 19,000 at an annual rate of 5.5%. Find the balance after 11 years.
=1900(1 + 0.055/1)(1)(11)
=1900(1.055)11
=3423.98
solve for x
log8x=4/3
84/3=x
cube sqrt 84
24=x
x=16write the division property of log.
logax/y =logax-logay
Solve for x
42x=163x-1
42x =(42)3x-1
2x=6x-2-4x=-2
x=2/4
x=1/2
Solve for x.
log4(x2-30)=log4x
x2-30=x
x2-x-30
(x-6)(x+5)
x=6
x=-5, extraneous
Solve using one to one property.
52x * 53x+1= 1/625
52x + 3x+ 1 = 1/54
52x+3x+1=5-4
5x+1=-4
5x=-5
x=-1
solve for x.
log4x2=log4(x+20)
x2=x+20
x2-x-20
(x+4)(x-5)
x=-4 x=5
Write the 2 properties of log.
-loga1=0
-logaa=1
-logaax=x
- If logax=logay, then x=y