Question

What is the solution to the equation log 2 x – log 2 4 = 5?

a. x = 2
b. x = 4
c. x = 32
d. x = 128

Answer 1

\[\large log_ma - log_mb = log_m(a/b)\]

Use this to club together the two terms in LHS, and then take anti-log both sides.

Answer 2

ok so its log 2 x/4 = 5 now?

Answer 3

Yes!

Answer 4

so what else?

Answer 5

how do u get the answer?

Answer 6

\[log_2x-log_24 = 5\]\[log_2\frac{x}{4} = 5\]\[\frac{x}{4} = 2^5\]\[\frac{x}{4} = 32\]Can you solve x?

Answer 7

why 2^5

Answer 8

because: