Question

Y1=4(5x-1), y2-=5x+1 and y1 is 344 more than 2 times y2

Answer 1

`y_1=4(5^x-1)` and
`y_2=5^x+1`


`y_1=344+2y_2`

`y_1=344+2(5^x+1)`

`4(5^x-1) = 344 + 2(5^x+1)`

`(4)(5^x)-4=344+2(5^x)+2`

`4(5^x)-2(5^x)=344+2+4`

`2(5^x)=350`

`5^x= (350)/(2)`

`5^x=175`

`log(5^x)=log(175)`

`x(log(5))=log(175)`

`x= (log175)/(log5)`

`x=3.21` (rounded to two decimal places)