(Solved) If 3x−y=12, what is the value of 8^x/2^y? A) 2^12 B) 4^4 C) 8^2 D) The value cannot be determined from the information given

-

 Question:

If 3x−y=12, what is the value of 8^x/2^y?

A) 2^12

B) 4^4

C) 8^2

D) The value cannot be determined from the information given.


Explanation:

8^x can be written as 2^3x because 8 = 2^3

So we need to find value of 2^3x/2^y

It is given that 3x-y=12

So 3x = 12+y

Substituting value of 3x in 2^3x/2^y

(2^3x) /(2^y) = (2^(12+y))/(2^y)

= 2^((12+y)-y)

= 2^12


Handwritten solution is provided below:

So answer is option (A) : 2^12

Comments

Post a Comment

Popular posts from this blog

Explain superposition theorem and use the principle of superposition to find the voltage Vo in the circuit

-
Image
Superposition Theorem Requirement: Power System is a complex network having number of voltage and current sources and number of loads. Now to analyze the network we need to find voltage/current at particular branch or load.  In such cases calculations for thevenin's and norton's theorem becomes difficult. We can use superposition theorem to find voltage/current at any branch or load in complex network. In this theorem only one source considered at a time and total voltage/current is sum of voltage/current obtained by considering individual source.   Statement of Superposition Theorem:
Read more

(Solved) An LVDT is connected to an amplifier of gain 250 the output terminals of which are connected to a 5 V voltmeter. The meter's scale can be read to 1/5th of a division and has 100 divisions in all. Given that a core displacement of 0.5 mm provides an output of 2 mV from the LVDT, find, 1. The sensitivity of the LVDT 2. The sensitivity of the whole system 3. The resolution of the instrument in centimeters

-
Image
 Question : An LVDT is connected to an amplifier of gain 250 the output terminals of which are connected to a 5 V voltmeter. The meter's scale can be read to 1/5th of a division and has 100 divisions in all. Given that a core displacement of 0.5 mm provides an output of 2 mV from the LVDT, find,  1. The sensitivity of the LVDT  2. The sensitivity of the whole system  3. The resolution of the instrument in centimeters Explanation : (a) Sensitivity of LVDT = Output voltage /displacement  Sensitivity of LVDT = 2mV/0.5 mm = 4 mV/mm (b)Sensitivity of whole setup = amplification factor*sensitivity of LVDT  Sensitivity of whole setup = 250*(4 mV/mm) = 1000 mV/mm (c) The resolution of the instrument in centimeters = minimum voltage that can be read by instrument /sensitivity of whole setup  There are 100 divisions to measure upto 5V.  So 1 division can read 5/100 = 0.05V Scale can read 1/5 of a division.  So minimum voltage that can be read = 0.05/5 ...
Read more

324 identical galvanic cells, each of internal resistance 9 ohm are arranged as several in series, groups of cell connected in parallel The arrangement has been laid out so that power output in an externally connected resistance of value 4 ohm is maximum. If n cells are connected in every series group that form parallel combination, then find value of n.

-
Image
Question : 324 identical galvanic cells, each of internal resistance 9 ohm are arranged as several in series, groups of cell connected in parallel The arrangement has been laid out so that power output in an externally connected resistance of value 4 ohm is maximum. If n cells are connected in every series group that form parallel combination, then find value of n. Answer : It is asked in question to find value of n such that power transfer to externally connected resistance of value 4 ohm is maximum. 
Read more