Log Rules and Forms
Write
log_4(16)=2 in exponential form.
42=16
Between which two whole numbers does log(50) fall?
1 and 2
Solve for x:
5x=1
x=0
What is the name of the person who discovered the constant "e"?
A) Edmund
B) Ellsworth
C) Elliot
D) Euler
D) Euler
Write 23=8 in logarithmic form.
log_2(8)=3
Between which two whole numbers does log(750) fall?
2 and 3
Solve for x:
3x=27
x=3
What is the base of the natural logarithm (ln)?
e
Rewrite log(1000)=3 in exponential form.
103=1000
Between which two whole numbers does log(5) fall?
0 and 1
Solve for x:
10x+2=1000
x=1
What is the base of the common logarithm (log)?
10
Rewrite ln(x)=y as an exponential equation.
ey=x
Between which two whole numbers does log(0.5) fall?
-1 and 0
Solve for x:
4x-1=12
(hint: rewrite using log form, then isolate x)
x=log_4(12)+1
Which equation represents controlled growth?
A)
A=Pe^(rt
B)
A=P(1+r)^t
B