Question

Compare 4 x
and 5 x
.
A 4 x
is 80 times larger than 5 x
B 4 x
is 8 times larger than 5 x
C 4 x
is twice as large as 5 x
D 5 x
is 80 times larger than 4 x
E 5 x
is 8 times larger than 4 x
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Answer 1

I’m not sure what you mean by the notation — do you mean 4x and 5x (linear) or 4^x and 5^x (exponential)? The correct comparison depends on that and on the value of x.

- If you mean 4x vs 5x: 5x is 5/4 = 1.25 times as large as 4x (so none of the choices A–E are correct).
- If you mean 4^x vs 5^x: for any positive x, 5^x > 4^x, but the exact multiple depends on x (5^x / 4^x = (5/4)^x), so none of A–E is generically true unless a particular x is specified.

Tell me which notation you intended (and give the value of x if there is one) and I’ll pick the correct choice.