Simplifying Logarithmic Expressions with Square Roots and Coefficients

Thread starter Sidthewall
Start date Aug 25, 2010
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Simplifying

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To simplify the expression ln(3/sqrt(5)) + 2, one can apply logarithmic properties. The expression can be rewritten using the quotient rule, resulting in ln(3) - ln(sqrt(5)). The square root can be expressed as a power, leading to - (1/2)ln(5). Finally, adding the constant 2 gives the simplified form of ln(3) - (1/2)ln(5) + 2. Understanding these logarithmic properties is essential for simplification.

Aug 25, 2010

Sidthewall

Homework Statement

How do i simplify the ln(3/sqrt(5)) + 2
into the ln(3)- (1/2)ln(5) + 2

Homework Equations

The Attempt at a Solution

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Aug 25, 2010

Borek

Mentor

What do you know about basic properties of logarithms?

For example - what log(a*b) equals to? log(a/b)? log(a^b)?

Aug 25, 2010

Sidthewall

sorry i got it

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