# Shared Flashcard Set

## Details

Exponents and Logarithms
alg2per4 Matthew I.
33
Mathematics
12/03/2008

Term
 What is this formula?y=2x
Definition
 Formula for graphing an exponential function
Term
 Which type of equation is this?y=(1/10)x
Definition
 exponential decay
Term
 Which type of equation is this?y=1/2(2)x
Definition
 exponential growth
Term
 What function is this?y=abx
Definition
 exponential function
Term
 Solve:32n+1=81
Definition
 32n+1=342n+1=42n=3n=3/2
Term
 What is this property?If b>1, then bx>by if and only if x>y, and bx
Definition
 exponential inequalities
Term
 State this equation's property2x=28, then x=8
Definition
 Property of Equality for Exponential Functions
Term
 Solve equation:43p-1>1/256
Definition
 43p-1>1/25643p-1>4-43p-1>-43p>-3p>-1
Term
 3n-2>27
Definition
 3n-2>33n-2>3n>5
Term
 y=2(3)xgrowth or decay?
Definition
 growth
Term
 y=4*(1/3)xgrowth or decay?
Definition
 decay
Term
 logarithmic form
Definition
 logbx
Term
 Solve:103=1000
Definition
 log101000=3
Term
 logarithmic function
Definition
 y=logbx     b>0 and b≠1
Term
 Solve:log4n=5/2
Definition
 n=45/2n=(22)5/2n=25 or 32
Term
 Solving equations with two logarithmslog5(p2-2)=log5p
Definition
 (cancel out logx)p2-2=pp2-p-2(p-2)(p+1)p=-1,2
Term
 logarithmic to exponential inequalitylog2x>3
Definition
 x>23
Term
 write in exponential formlog5125=3
Definition
 53=125
Term
 Evaluatelog216
Definition
 2y=162y=23y=3
Term
 Solvelog21/8
Definition
 2y=1/82y=2-3
Term
 What is the change of base formula?
Definition
 logan=logbn/logba
Term
 Solving exponential equations3x=11
Definition
 log 3x=log 11x log 3=log 11x=log 11/log 3(use calculator to get rest of answer)
Term
 How to solve a logarithmic problemlog E=11.8+1.5M
Definition
 log E=11.81.5(8.5)<--(Chilean Earthquake rating)log E=24.510log E=1024.55E=1024.55E≈3.55*1024
Term
 What is the product of a logarithm?
Definition
 A sum of logarithms of it's factors
Term
 What is the quotient of a logarithm?
Definition
 Difference of a numerator and denominator in a logarithm
Term
 Solve when log35≈1.4650, log320≈2.7268log34=log320/5
Definition
 log320-log352.7268-1.4650=1.2618
Term
 Solve3 log5x-log54=log516
Definition
 log5x3-log54=log516log5(x3/4)=log516x3/4=16x3=64x=4
Term
 Solvelog4x+log4(x-6)=2
Definition
 log4x(x-6)=2x(x-6)=42x2-6x-16=0(x-8)(x+2)=0x=8,-2
Term
 Solve when log32≈.6309, log37≈1.7712log318
Definition
 log3(2*32).6309+1.77122
Term
 What are common logarithms'?
Definition
 logarithms with the base of 10
Term
 What is the power property?
Definition
 Product of a logarithm and the exponent.
Term
 Solve when log46≈1.2925log436=log462
Definition
 2 log462(1.2925)=2.585
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