Question

Log word problems.

Answer 1

As x is the year after 2000, so add 2000 to the above result...

Answer 2

you can combine the logs there?

Answer 3

No I have done something wrong..
Wait..

Answer 4

im confuse, when will you combine the logs and when not?

Answer 5

ok ok ok

Answer 6

\[100 \times (1.02)^x = 300 \implies (1.02)^x = 3\]

Taking log both the sides
\[x.\ln(1.02) = \ln(3)\]

Divide both the sides by ln(1.02)


\[x =\frac{\ln(3)}{\ln(1.02)} + 2000\]


As x is indicating the year after 2000..

Answer 7

i got that too :D i'm learning! :)) but im confused how to put the numbers

Answer 8

What numbers??

Answer 9

how to put those 300 milion and the 2000