- #1
Tikoonmunci
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325*(0.8)^t=5
Can anyone help me please?
Can anyone help me please?
Since you say "it's logarithms", you probably already know what you should do- the whole point of logarithms is that they "inverse" to exponentials: log(a^x)= x log(a), getting the "x" out of the exponent.Tikoonmunci said:325*(0.8)^t=5
Can anyone help me please?
Tikoonmunci said:325*(0.8)^t=5
Can anyone help me please?
Susanne217 said:[tex]a^t = t \cdot log(a))[/tex]
Mentallic said:Correction, [tex]log(a^t)=tlog(a)[/tex]
Mentallic said:I'll let you off this time, but you just better be getting the heck on outta here and never let me see your face around these parts of town again, you hear!?
Logarithms are mathematical functions that are used to solve exponential equations. They represent the power to which a base number must be raised to equal a given number. For example, the logarithm base 2 of 8 is 3, because 2 to the power of 3 equals 8.
Logarithms are useful because they allow us to easily solve complex exponential equations, and they can be used to convert between different number systems, such as converting a multiplication problem into an addition problem.
To solve a logarithmic equation, you can use the properties of logarithms to rewrite the equation into a simpler form. Then, you can solve for the variable by isolating it on one side of the equation and using the inverse operation of exponentiation.
A natural logarithm, denoted as ln, has a base of e, which is a mathematical constant approximately equal to 2.718. A common logarithm, denoted as log, has a base of 10. The values of these two logarithms may differ, but they both follow the same logarithmic properties.
Logarithms are used in various fields such as science, finance, and engineering. A common application is in measuring the loudness of sound, where the decibel scale uses logarithms to represent the intensity of sound waves. Logarithms are also used in data compression, pH levels in chemistry, and the Richter scale for measuring the magnitude of earthquakes.