who can help me thanks Maths problems?

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

If Log 4 (x) = 12, then log 2 (x / 4) is equal to 


Dec 22nd, 2014

We'll consider the constraint and we'll take antilogarithm:

log4 (x) = 12 => x = 4^12

We'll substitute x by 4^12 in the fraction:

log2 (x/4) = log2 (4^12/4)

Since the exponentials have matching bases, we'll subtract exponents:

4^12/4 = 4^(12-1) = 4^11

log2 (4^12/4) = log2 (4^11)

We'll use power rule of logarithms:

log2 (4^11) = 11log2 (4)

But 4 = 2^2

11log2 (2^2) = 22 log2 (2)

But log2 (2) = 1 => 22 log2 (2) = 22

Therefore, log2 (x/4) = 22.


Dec 22nd, 2014

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Dec 22nd, 2014
...
Dec 22nd, 2014
Jun 29th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer