![]() The famous 'Richter Scale' uses this formula: M log 10 A + B Where A is the amplitude (in mm) measured by the Seismograph and B is a distance correction factor Nowadays there are more complicated formulas, but they still use a logarithmic scale. HW 3.0.2 Expand and Condense Logarithms (5).pdf. 7.5 Practice GT Algebra 2: Log Properties Name: Condense into a single logarithm 1. Use the Properties of Logarithms to condense the logarithm. The magnitude of an earthquake is a Logarithmic scale. View 7.5+Practice+Expand+Condense+Logs.pdf from MATH 1314 at New Tech High Coppell. = 6 l o g 6 2 + 3 l o g 6 x + l o g 6 ( 4 x + 1 ) − l o g 6 ( 2 x − 1 ) Apply the Power Rule. To condense logarithmic expressions with the same base into one logarithm, we start by using the Power Property to get the coefficients of the log terms to be one and then the Product and Quotient Properties as needed. One last comment before we move to reassembling logs from their various bits and. Write the expression as a single logarithm whose coefficient is 1. expand a logarithm, we may very well be restricting the domain as we do so. = l o g 6 2 6 + l o g 6 x 3 + l o g 6 ( 4 x + 1 ) − l o g 6 ( 2 x − 1 ) Simplify by writing 64 as 2 6. Use properties of logarithms to condense the logarithmic expression. L o g 6 ( 64 x 3 ( 4 x + 1 ) ( 2 x − 1 ) ) = l o g 6 64 + l o g 6 x 3 + l o g 6 ( 4 x + 1 ) − l o g 6 ( 2 x − 1 ) Apply the Quotient Rule. ![]()
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