Question

Solve for 'x' in the equation
300=200e^0.3x

Answer 1

try dividing both sides by 200
then u take log on both sides with base e

Answer 2

@imqwerty \[1.5=e^{0.3x}\] Is that a good start

Answer 3

yes

Answer 4

are u allowed to use calculators?

Answer 5

Yes

Answer 6

ok now try doing this-
we take log with base e on both sides
\[\log_{e}1.5=\log_{e}e^{0.3x}\]

Answer 7

Would that be like taking log 1.5? @imqwerty

Answer 8

can u tell what is the base of logarithm in this^

Answer 9

Well it has base 'e' right?

Answer 10

yes we are taking base e
we take base as e in this case so that the right hand side of the equation can be simplified easily :)

Answer 11

if u get confused somewhere feel free to ask

Answer 12

@imqwerty is the answer bout 1.35?

Answer 13

yeah its 1.35

Answer 14

Okay awesome! For \[1500=25 \times 2^{0.45x}=23.58?\]

Answer 15

Approx. that is.

Answer 16

try doin it again :)
i think theres a lil mistake

Answer 17

to check your answers ...to see if they are correct u jst try putting the value of x that ur getting into the equation :)
liek here u got x=23.58 approx

when u put it in the equation

25x2^{0.45x}

25x 2^{0.45x23.58}
=39099.328

so this is not 1500 therefore x=23.58 is wrong