You can't solve either of question 1 without logarithms.
1.
3^(x-2)=5^x
2^(x-2)=3^(x+1)
cant use log.
2. Lucas is hoping to take a vacation after he finishes university. To do this he needs $5000, he finishes with $3500 in an investment that pays 8.4 per year, compounded quarterly. how long will Lucas have to wait before he has enough money to go on vacation.
I did 3500*1.084^x/4 wrong results
Hello, skg94!
.
Can't use log. . Then they can't be solved.
2. Lucas is hoping to take a vacation after he finishes university. .To do this he needs $5000.
He has $3500 in an investment that pays 8.4% per year, compounded quarterly.
How long will Lucas have to wait before he has enough money to go on vacation?
The formula is: .
. . where: .
We have: .
. . where is the number of years.
Then: .
Take logs: .
Therefore: .
my answer says its 4.5
its nice to know the interest formula though, if i were to graph it which formula would i use?
3500(1+(.084/4)^4x ?
or 3500 * (1.021)^4x
well the thing is while i know how to do log, my test tomorrow will strictly be using expontential fuctions only, so i guess my teacher made a mistake in this review
Why would you think that a test on exponential functions wouldn't include logarithms? Logarithms are the inverse functions of exponentials, and so MUST be used in many cases involving exponential functions, such as the ones above.
Because the the teacher hasnt taught it so i cant be tested on something i havent been taught?
If he gives a test on lessons he hasnt even mentioned then how can i be expected to answer them.
I know log because i was told to do this using log, but seeing as how i wouldnt be able to use them on a quiz where i havent learned logs i decided to ask if there is a way without them, which there isnt