Math 120 exam 3 Questions with Verified Correct Answers

Math 120 exam 3 Questions with Verified
Correct Answers
how to solve equations with exactly one exponent or log expression

1) isolate the term

2) use inverse to undo

how to solve equations with exactly two exponential or log terms (and nothing else)

1) rewrite with same base

2) set equal to each other

how to solve equations with two exponential terms and no common base

1) apply ln to both sides

2) distribute

3) gather x terms

4) factor out x

5) solve for x

how to solve equations with many log terms

1) rewrite using log properties to reduce to either logB(__)= # or logB(__)=logB(--)

how to solve factorable equations

1) find common factor

2) solve for x

logB(N) in exponential form

N=B^P

log 10

, common log: log

log e

natural log, ln

x^a x x^b

x^a+b

x^a / x^b

x^a-b

(x^a)^b

x^ab

x^a/b

b√x^a

(a/b)^x

a^x/b^x

1/x^a

x^-a

b^0=1

logB(1)=0

log (AB)

log A+ log B

log (A/B)