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Algebra 2, Exponential and Logarithmic Functions

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Section 1

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log(x) - log(y) =

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Algebra Math

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Date created

Mar 1, 2020

Cards (18)

Section 1

(18 cards)

log(x) - log(y) =

Front

log(x/y)

Back

log(x) + log(y) =

Front

log(xy)

Back

product of powers property

Front

ADD the exponents of the same base

Back

compound interest formula

Front

A = P(1 + r/n) ^ (nt)

Back

exponential decay function

Front

f(x) = ab^x, 0 < b < 1

Back

log(0) =

Front

Undefined

Back

asymptote

Front

the vertical / x = line that logarithms functions that don't touch or the horizontal / y = line that exponential functions that don't touch

Back

e

Front

≈ 2.71828; the natural base

Back

log(1) =

Front

0

Back

natural logarithm

Front

inverse of base "e" exponents

Back

zero exponent property

Front

ALWAYS equal to 1

Back

logarithm

Front

the base "b" used to multiply to get the value "m" for a given exponent "n"

Back

power of a power property

Front

MULTIPLY the exponents of the same base

Back

ylog(x) =

Front

log(x^y)

Back

quotient of powers property

Front

SUBTRACT the exponents of the same base

Back

negative exponents

Front

take the RECIPROCAL of the base and make the exponent of that base POSITIVE

Back

exponential growth function

Front

f(x) = ab^x, b > 1

Back

common logarithm

Front

inverse of base "10" exponents

Back