Shared Flashcard Set

Details

Exponential and Logarithmic Equations
n/a
20
Mathematics
10th Grade
05/11/2010

Additional Mathematics Flashcards

 


 

Cards

Term
x=ay in logarithm form is:
Definition
 y=logax
Term
logax + logay =
Definition
logaxy
Term
logax - logay =
Definition
logax/y
Term
nlogax =
Definition
logaxn
Term

Logab =

(use the base change formula)

Definition
logca/logcb
Term
loga2 + loga3 =
Definition
loga6
Term
Given that log2=0.301 and log3=0.477, find log 6 and log 1.5
Definition

log6 = 0.778

log1.5 = 0.176

Term
log3243 - log381 =
Definition
= 1
Term

Answer in log form:

 

log2 + log3 + log4 =

 

Definition
log 24
Term

Answer in log form

 

ln4 + (2ln3) =

Definition
ln36
Term
The number of schools offering the IBDP programme appears to be growing by 10% a year. Assuming this continues, and there are currently 1500 IB schools, after approximately how many years would there be a million IB schools?
Definition

Pn=1500(1+0.1)n

 

=68.2 years

Term
Solve the equation log16x5= log64125 - log4x1/2 for x
Definition
51/3
Term

Solve for x:

 

2x= 256

Definition
x= 8
Term

solve for x:

lnx = 16

Definition
x=e16
Term

solve for x:

5 x 2x=40

Definition
x=3
Term
A man jumps from an airplane and his speed of descent is given by V=50(1-e-0.2t)m/s where t is the time in seconds. Find the taken time for his speed to reach 40m/s
Definition
8.055 seconds
Term
what is the formula for calculating interest of an investment compounded continuously?
Definition
A=A0ert
Term
simplify 2log63+(1/2)log616
Definition
6
Term

solve for x:

log x + log(x+1) = log 30

Definition
x = -6 or x = 5
Term

change to logarithmic form:

243=35

Definition
log3243=5
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