Logarithm Q: Is log(\frac{3}{5}) = \frac{log3}{log5}?

AbsoluteZer0 · 2013-10-21T04:35:46+00:00

Hello all, Am I right in assuming that log(\frac{3}{5}) = \frac{log3}{log5}? Thanks,

Thread starter AbsoluteZer0
Start date Oct 20, 2013
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Logarithm

In summary, a logarithm is a mathematical function used to solve equations involving exponents and convert between different forms of exponential equations. To solve a logarithmic equation, the properties of logarithms can be used to simplify the equation and then the inverse operation of logarithms, exponentiation, can be applied. The base of a logarithm is the number raised to a certain power to get the argument of the logarithm, and it can be any positive number except 1. The most commonly used bases are 10, e (Euler's number), and 2. Additionally, the quotient rule states that the logarithm of a quotient is equal to the difference of the logarithms of the numerator and denominator.

Oct 20, 2013

AbsoluteZer0

Hello all,

Am I right in assuming that [itex]log(\frac{3}{5}) = \frac{log3}{log5}[/itex]?

Thanks,

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Oct 21, 2013

Tanya Sharma

AbsoluteZer0 said:

Hello all,

Am I right in assuming that [itex]log(\frac{3}{5}) = \frac{log3}{log5}[/itex]?

Thanks,

No...This is wrong .

Remember log(a/b) = loga - logb and log(ab) = loga + logb

Last edited: Oct 21, 2013

Related to Logarithm Q: Is log(\frac{3}{5}) = \frac{log3}{log5}?

1. What is a logarithm?

A logarithm is a mathematical function that is the inverse of exponentiation. It is used to solve equations involving exponents and to convert between different forms of exponential equations.

2. How do I solve logarithmic equations?

To solve a logarithmic equation, you can use the properties of logarithms to simplify the equation and then apply the inverse operation of logarithms, which is exponentiation, to both sides of the equation.

3. What is the base of a logarithm?

The base of a logarithm is the number that is raised to a certain power to get the argument of the logarithm. For example, in the logarithm log₂(8), 2 is the base.

4. Can the base of a logarithm be any number?

Yes, the base of a logarithm can be any positive number except 1. However, the most commonly used bases are 10, e (Euler's number), and 2. Different bases result in different values for the logarithm of the same number.

5. Is log(a/b) equal to log(a) - log(b)?

Yes, this is one of the properties of logarithms, known as the quotient rule. It states that the logarithm of a quotient is equal to the difference of the logarithms of the numerator and denominator. So, log(a/b) = log(a) - log(b).