Question

Find x
2 ^30 divided by 8^9= 2x

Answer 1

see below

Explanation:

2^30

-------

8^9

Rewriting

8^9

2^3 ^ 9

We know a^b^c = a^(b*c)

2^(3*9) = 2^27

2^30

-------

2^27

We know a^b / a^c = a^(b-c)

2^(30-27) = 2^3

Assuming you mean 2^x

2^3 = 2^x

x=3

If you mean 2x

2^3 = 8

8 = 2x

Divide by 2

4 =x

Answer 2

`\huge\text{Hey there!}`

`\mathsf{(2^(30))/(8^9)=2x}`

`\mathsf{2^(30)}\\\mathsf{= \bf 1,073,741,824}\\\\\mathsf{8^9}\\\mathsf{= \bf 134,217,728}`

`\mathsf{\rightarrow (1,073,741,824)/(134,217,728)= 2x}\\\\\\\mathsf{(1,073,741,824)/(134,217,728)= \bf 8}\\\\\\\mathsf{\rightarrow \ 8 = 2x}\\\\\\\\\large\textsf{TURN\ the\ EQUATION\ around}\\\\\\\mathsf{\rightarrow\ 2x = 8}\\\\\\\large\textsf{DIVIDE 2 to BOTH SIDES}\\\\\\\mathsf{(2x)/(2)=(8)/(2)}\\\\\\\large\textsf{CANCEL out: }\mathsf{(2)/(2)}\large\textsf{ because it gives you 1}\\\\\\\large\textsf{KEEP: }\mathsf{(8)/(2)}\large\textsf{ because it gives you the answer of x}`

`\mathsf{x = (8)/(2)}\\\\\\\mathsf{x = 8/ 2}\\\\\\\mathsf{x = \bf 4}\\\\\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 4}}}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`