(a) Most calculators can find logarithms with base __________ and base ________. To find logarithms with different bases, we use the _____________ Formula. To find
(b) Do we get the same answer if we perform the calculation in part (a) using
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Chapter 4 Solutions
Algebra and Trigonometry (MindTap Course List)
- The logarithm of a product of two number is the Same as the _______of the logarithms of these number. So log5(25.125) =_________+________.arrow_forwardDiscuss the meaning of the common logarithm.What is its relationship to a logarithm with base b,and how does the notation differ?arrow_forwardDiscuss the meaning ofthe natural logarithm. Whatis its relationship to a logarithm with base b, andhow does the notation differ?arrow_forward
- How the Logarithm IncreasesIf logx=8.3 and logy=10.3, how do x and y compare?arrow_forwardDICUSS DISCOVER: The Number of Digits in an integer Compare log1000 to the number of digits in 1000. Do the same for 10,000. How many digits does any number between 1000and10, 000 have? Between what two values must the common logarithm of such a number lie? Use your observations to explain why the number of digits in any positive integer xislogx+1. The symbol n is the greatest integer function defined in Section 2.2. How many digits does the number 2100 have?arrow_forwardUse logarithms to find the exact solution for 3e6n2+1=60. If there is no solution, write nosolution.arrow_forward
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