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Step 1: Rewrite the square root as an exponent of 12 . Step 2: Use the power property of logarithms to rewrite the logarithm without the 12 power. Step 3: Use the product and quotient properties of logarithms, if needed, to expand the logarithm.

Expanding logarithmic expressions - YouTube YouTube Start of suggested clip End of suggested clip Minus the ln of y to the fourth. Now my last step is i can take my powers. And i can rewrite them asMoreMinus the ln of y to the fourth. Now my last step is i can take my powers. And i can rewrite them as the product of my logarithm. So therefore i have ln of 6 plus 2 ln of x. Minus 4 ln of y.

Expanding Logarithmic Expressions - YouTube YouTube Start of suggested clip End of suggested clip Let's try one more example go ahead and expand the log let's say if it's the square root of a timesMoreLet's try one more example go ahead and expand the log let's say if it's the square root of a times b to the one fourth. Divided by the cube root of c to the fifth. Raised to the third.

100 Write a Logarithmic Expression in Expanded Form (4.4) - YouTube YouTube Start of suggested clip End of suggested clip So first thing I would do is say log base 4 of 5 plus log base 4 of X. And then of course I've got aMoreSo first thing I would do is say log base 4 of 5 plus log base 4 of X. And then of course I've got a Y Z on the bottom which means both of those will be subtracted. So log base 4 of Y.

When you are asked to expand log expressions, your goal is to express a single logarithmic expression into many individual parts or components. This process is the exact opposite of condensing logarithms because you compress a bunch of log expressions into a simpler one.

How to Expand a Logarithm : Logarithms , Lesson 10 - YouTube YouTube Start of suggested clip End of suggested clip So let's go ahead and write that out here so log base 3 of all this stuff is equal to log base 3 ofMoreSo let's go ahead and write that out here so log base 3 of all this stuff is equal to log base 3 of the numerator. So our numerators was on top x squared + y to the 3rd n.

For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100. This is an example of a base-ten logarithm.log2 8 = 3. because. 23 = 8. In general, you write log followed by the base number as a subscript.log.log a = r.ln.ln a = r.