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How to consolidate formula log

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hello everyone in this video Im going to talk about the logarithm of time method so this is one of the two mostly commonly used methods to determine the coefficient of consolidation we call CV from one the consolidation test for this logarithm of time method first you want partial consolidation test data in terms of deformation versus T in log scale so you have your deformation in the y-axis in linear scale in time T as the x axis in log scale and this is a typical deformation versus log T plot from a 1d consolidation test in the logarithm of time method the first step is to extend the straight line portion of the primary consolidation this is highlighted on this slide and also extend the straight line portion of the secondary consolidation in highlighted also on this slide so these two straight lines are going to intersect and we call that intersection point a and the corresponding deformation of this intersection a is defined as d100 so thats basically the deformation at a hundred

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How do you combine log functions with the same base?

Logs of the same base can be added together by multiplying their arguments: log(xy) = log(x) + log(y). They can be subtracted by dividing the arguments: log(x/y) = log(x) - log(y).

How do you condense logarithmic functions?

0:55 3:42 Condensing Logarithmic Expressions - YouTube YouTube Start of suggested clip End of suggested clip Minus log c to the seventh. Now we can write a single log a and b both have a positive sign in frontMoreMinus log c to the seventh. Now we can write a single log a and b both have a positive sign in front so theyre going to be on top a squared b to the fifth c has a negative sign in front of it.

How do you compress a logarithm?

0:45 4:34 Compressing Logarithms - YouTube YouTube Start of suggested clip End of suggested clip Natural log has a base of e. So they both have the same base. And they are being added. So then IMoreNatural log has a base of e. So they both have the same base. And they are being added. So then I can multiply. These writing them compressing them into a single log.

How do you combine two LN functions?

ln(x)(y) = ln(x) + ln(y) ln(x)(y) = ln(x) + ln(y) The natural log of the multiplication of x and y is the sum of the ln of x and ln of y. Example: ln(8)(6) = ln(8) + ln(6)

How do I link formulas from one cell to another in Excel?

Move a formula to another location Select the cell that has the formula you want to move. Press. + X. Click the cell where you want to paste the formula. If that cell is on another worksheet, go to that worksheet and click the cell you want. To paste the formula with its formatting, on the Home tab, click Paste or press.

How do you condense and expand logarithmic functions?

0:36 9:31 Expanding and Condensing Logs - YouTube YouTube Start of suggested clip End of suggested clip You take a log of the numerator minus log of the denominator. So log of the one on top - log of theMoreYou take a log of the numerator minus log of the denominator. So log of the one on top - log of the one on the bottom again keeping the same base. And then the power property for logs.

How do I consolidate data from multiple columns in Excel?

Combine data using the CONCAT function Select the cell where you want to put the combined data. Type =CONCAT(. Select the cell you want to combine first. Use commas to separate the cells you are combining and use quotation marks to add spaces, commas, or other text. Close the formula with a parenthesis and press Enter.

How to condense the expression to the logarithm of a single quantity?

0:03 2:02 Condensing a logarithmic expression into one single quantity - YouTube YouTube Start of suggested clip End of suggested clip One logarithm expression by using our product rule of logarithms.MoreOne logarithm expression by using our product rule of logarithms.

How do I consolidate formulas in Excel?

Click DataConsolidate (in the Data Tools group). In the Function box, click the summary function that you want Excel to use to consolidate the data. The default function is SUM. Select your data.

What does it mean to condense a logarithm?

The reverse process of expanding logarithms is called combining or condensing logarithmic expressions into a single quantity. Other textbooks refer to this as simplifying logarithms.

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Consolidate formula log easily