Question

Solve the given equation.

http://media.education2020.com/evresources/648-09-01-00-00_files/i0220000.jpg

Answer 1

2401=7^4
343=7^3

you need more?

Answer 2

i dont get it :(

Answer 3

what else is next?

Answer 4

theres more examples like this :)

Answer 5

oh wait i have some notes on an example like this one. you really helped by finding the quare root of theose numbers. i couldnt find the aquare root of 2401 and 343 so thanks

Answer 6

2401=7^4
343=7^3

so 2401^2n=(7^4)^2n=7^8n
and 343^(n+2)=(7^3)^(n+2)=7^(3n+6)

we get the equation:
7^8n=7^(3n+6)

because of injectivity of the exponential function
8n=3n+6

you solve this linear equation and youll get the solution of exponential equation...

Answer 7

ooh okay i get it now i think. what do i do with 8n=3n+6? sorry i forgot.

Answer 8

8n=3n+6
5n=6
n=6/5

Answer 9

ohhh okay you got 5 by subtracting 3 on 8n=3n side right?

Answer 10

thanks i get it now :)

Answer 11

can you help me with another one like this?