How do we solve with ratios? (1 Viewer)

[bubb]

How do we solve for x when it is in ratio? do we divide? or maybe some further factoring with the 8 and 16?


x : 8^(2x-1) = 16^(x+3)

 

[Squar3root]

2^3(2x-1) = 2^4(x+3)

equate powers
3(2x-1) = 4(x+3)

and solve from there

 

[braintic]

I don't think it is a ratio. "solve for x:" means "solve for x such that".
If it was a ratio, it would not be possible to solve exactly.
I think √ has interpreted it correctly.