First we rewrite the logarithm in exponential form:
Next, we ask, “To what exponent must
be raised in order to get 1000?” We know
Therefore,
Evaluate
Given a common logarithm with the form
evaluate it using a calculator.
Press
[LOG] .
Enter the value given for
followed by
[ ) ] .
Press
[ENTER] .
Finding the value of a common logarithm using a calculator
Evaluate
to four decimal places using a calculator.
Press
[LOG] .
Enter 321
, followed by
[ ) ] .
Press
[ENTER] .
Rounding to four decimal places,
Evaluate
to four decimal places using a calculator.
Rewriting and solving a real-world exponential model
The amount of energy released from one earthquake was 500 times greater than the amount of energy released from another. The equation
represents this situation, where
is the difference in magnitudes on the Richter Scale. To the nearest thousandth, what was the difference in magnitudes?
We begin by rewriting the exponential equation in logarithmic form.
Next we evaluate the logarithm using a calculator:
Press
[LOG] .
Enter
followed by
[ ) ] .
Press
[ENTER] .
To the nearest thousandth,
The difference in magnitudes was about
The amount of energy released from one earthquake was
times greater than the amount of energy released from another. The equation
represents this situation, where
is the difference in magnitudes on the Richter Scale. To the nearest thousandth, what was the difference in magnitudes?
The difference in magnitudes was about
Using natural logarithms
The most frequently used base for logarithms is
Base
logarithms are important in calculus and some scientific applications; they are called
natural logarithms . The base
logarithm,
has its own notation,
Most values of
can be found only using a calculator. The major exception is that, because the logarithm of 1 is always 0 in any base,
For other natural logarithms, we can use the
key that can be found on most scientific calculators. We can also find the natural logarithm of any power of
using the inverse property of logarithms.
Definition of the natural logarithm
A
natural logarithm is a logarithm with base
We write
simply as
The natural logarithm of a positive number
satisfies the following definition.
For
We read
as, “the logarithm with base
of
” or “the natural logarithm of
”
The logarithm
is the exponent to which
must be raised to get
Since the functions
and
are inverse functions,
for all
and
for
Given a natural logarithm with the form
evaluate it using a calculator.
Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you.
Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
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