How do i work out x ?
3 times 2 to the power of x-1 =24
i dont understand how to work out x
3 times 2 to the power of x-1 =24
i dont understand how to work out x
1 Answer
Aug 6, 2017
Explanation:
"what we have is "
3xx2^(x-1)=24
"isolate "2^(x-1)" by dividing both sides by 3"
rArrcancel(3)^1/cancel(3)^1xx2^(x-1)=24/3
rArr2^(x-1)=8
• " note that "8=2^3
rArr2^(x-1)=2^3
"since the bases are both 2 we can equate the exponents"
rArrx-1=3
"adding 1 to both sides gives"
x=4
color(blue)"As a check"
3xx2^((4-1))=3xx2^3=3xx8=24larr" True"
rArrx=4" is the solution"