PLEASE HELP ME! I NEED THIS ANSWERED TODAY! Is my answer correct?

Question

Solve for m: 2 log₅ m = log₅ 16

(A) 14

(B) 8

(C) 4/5

(D) 256

(E) None of the above

I got (E) None of the above. Is this the correct answer?

Answer 1

2log₅m = log₅16

Rules with Subtracting Logs with the Same Base

log_ax-log_ay = log_ax/y

2log₅m - log₅16 = 0 --- use the rule above and rewrite

2log₅m / log₅16 = 0

Multiply each side by log₅

2log(m) / log(5) - log(16) / log(5) = 0

-log(16)-2log(m) / log(5) =0

m=4

Using the common denominator of log₅ rewrite and simplify

Answer 2

yes

m² = 16

m = +4 or -4

Since m cannot be less than zero

so ans is 4

Answer 3

e is the correct answer