Use the properties of logarithmic functions to simplify the expression on the left side of the equation and determine the values of x and y. Then evaluate the simplified expression. The value of x is , and the value of y is. The value of the expression, rounded to nearest hundredth, is .

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25-07-2017
Mathematics

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Use the properties of logarithmic functions to simplify the expression on the left side of the equation and determine the values of x and y. Then evaluate the simplified expression. The value of x is , and the value of y is. The value of the expression, rounded to nearest hundredth, is .

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nicolson123 nicolson123 · Answer 1 · 2017-07-25T16:52:07+02:00

4x = 16log 4x = log 16 Take the common logarithm of both sides. (Remember, when no base is written, that means the base is 10.) What can you do with that new equation? log 4x = log 16x log 4 = log 16Use the power property of logarithms to simplify the logarithm on the left side of the equation. x log 4 = log 16Remember that log 4 is a number. You can divide both sides of the equation by log 4 to get x by itself.AnswerUse a calculator to evaluate the logarithms and the quotient.