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16) Convert to a logarithmic equation: 20° = 400 (2 marks) 17) Convert to an exponential...
a) Convert log x=t into an exponential equation. b) Convert 3-2 = into a logarithmic equation. 9 Use the change of base formula to find log; 5 to four decimal places.
Evaluate log5625 using the following methods. By switching from logarithmic to exponential form By cancelling the base with the log base By using the "change of base" rule Simplify and evaluate each of the following expressions using the laws of logarithms. log62+log618 log4256+log42−log48 log2128−3log24 Solve each of the following equations. logx81=2 log12x=3 log7(2x−5)=3 Task 2: Thinking questions Use systematic trial and error to evaluate log35. A culture of bacteria doubles every three hours. The initial culture contains 500 bacteria. How...
1, 2 & 3 please step by step .
Exercise 3.1.1 1 What positive number, when subtracted from its own square gives an answer of 56? 2 Eight times the sum of a number and its reciprocal results in 34. Find this number. 3 The square of the difference between a number and 12 is twice the number. Find it. 4 The product of two numbers is 88. What are the numbers if one number is 3 more than the...
This is the sequence 1,3,6,10,15 the pattern is addin 1 more than last time but what is the name for this patternThese are called the triangular numbers The sequence is 1 3=1+2 6=1+2+3 10=1+2+3+4 15=1+2+3+4+5 You can also observe this pattern x _________ x xx __________ x xx xxx __________ x xx xxx xxxx to see why they're called triangular numbers. I think the Pythagoreans (around 700 B.C.E.) were the ones who gave them this name. I do know the...