Question

how do i determine if a function is exponential or logarithmic if im only given the domain and range

Answer 1

exponents have an infinite domain and finite range
logarithms have a finite domain and infinite range

Answer 2

it gave me D={-2, -2, 0, 1, 2} R={0.25, 1, 4, 16, 64}

Answer 3

This is not a function as -2 must map to two different values in the range and functions only have one output for any given input

Answer 4

the problem just shows that and asks whether it logarithmic or exponential

Answer 5

If you meant -1 then this is exponential, if you plot the data it starts to increase slowly and then speeds up

Answer 6

what about
D={0.25, 1, 4, 16, 64}
R={-2, -1, 0, 1, 2}

Answer 7

(although all logarithmic functions are, are simply the inverse of an exponential function, so technically all logarithmic functions are exponential as well.

Answer 8

in that one they changed the domain and range so the first was exponential, this one is the inverse so it must be logarithmic.

Answer 9

and how can i tell if a graph is logarithmic or exponential if im only given a graph, nothing else

Answer 10

If it starts off flat and then curves up (or down) it's exponential.
If it starts off going up (or down) and flattens out it's logarithmic.

Answer 11

oh! ok, thank you :) do you know anything about equations containing radicals and exponents by any chance?

Answer 12

Ohhh, I know a thing or two about those guys. :)

Answer 13

how would i solve 1/4^3x=2

Answer 14

Is it:\[(1/4)^{3x}=2\]

Answer 15

the x isnt attatched to the exponent,

Answer 16

ok so:
\[(1/4)^{3}x=2\]

Answer 17

yes, and the fraction isnt in parenthesis

Answer 18

First raise 1/4 to the third power:
1/4^3 = 1/64 (4^3 = 4*4*4)
so 1/64x = 2
multiply both sides by 64
x = 128

Answer 19

wait i made a mistake, its 1/4x^3=2

Answer 20

oh, that makes a little bit of a difference...
First multiply both sides by 4
x^3 = 8
next raise both sides to the (1/3) power
x = (8)^(1/3)
x = 2

Answer 21

wht if i had 1/8x^6-3=5

Answer 22

Working backwards get rid of the -3 first
1/8x^6 = 8
next multiply by 8
x^6 = 64
now raise both sides to the 1/6 power
x = (64)^(1/6)
x = 2

Answer 23

One way to get rid of exponents is to raise both sides to 1/n where n is the exponent.

Answer 24

how come i have to make the exponent 1/6?

Answer 25

oh! ok, but how does it equal to 2

Answer 26

if you have a calculator you can type in 64^(1/6) and it should give you the answer of 2.
Or you can ask yourself what number times itself 6 times is 64? And then use guess and check to find 2. (I like the calculator way myself)

Answer 27

oh i see, what do i do if i have (x-1)^2/3-13=3
i know i have to add 13 to both sides but what do i do with the exponent