4. a) Solve the equation log2 (x - 5) - log: ( x - 2) +1 algebraically. b) Verify your answers are reasonable by graphing both y = log2 (x - 5) and y = log: (x-2) +| on the same set of axes.
6. Solve for x log2 (x + 7) + log 2x-3. a) x+7=3 b) 1 c) not possible x d) none of these 7. Evaluate log, a) x b) c) not possible d) none of these 8. What is the solution of -764? a) -2 b) 0 c) 2 d) 10 9. Find the approximate value of the expression log 16 160 a) 0.54 b) 1.83 c) 2.20 d) 0.9 10. Find the value of the expression 2.5 b) 12.2...
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9. Points=2 Show that x log x is O(x²) but that x? is not O(x log x). 10. Points=4 Show that each of these pairs of functions are of the same order. 10a) log(x² + 1), log2 X 10b) logio x, log2 x
1. Prove that log2(n) is O(n) 2. Prove that log(n!) is O(n log(n))
Solve the following equations: a) log2 (2) + log2 (3x - 5) = 3 b) 22+3 = 7° c) log(+4) + loge(x+3) = 1 d) 4e-2 = 31
Omar wants to graph the system of equations below. loge X log2(x+4) Which system of equations should Omar use? log2 log6 ,Y2X+4 YiX logx+4 logx y1 Tog6 2 log2 logx log6 OYTog22log(x+4) log(x+4) log2 logx y1 Tog6 2
Solve the following equations. 1. ln(x2 ) = ln(2x + 3) 2. log2(2) + log2(3x − 5) = 3. 3. Expand the logarithm: log ( x15y13) z19
15) Evaluate. a) log2 16 16) Find In e. b) log,V7
DETAILS SPRECALC7 4.1.008. Solve the logarithmic equation for x. (Enter your answers a (a) log(2x) = 3 x = 500 (b) log(x + 1) + log(2) = log(7x) 2 5 5 In(3 - x) = 4 جب X = -e +3 (d) log2(x + 2) + log2(x - 1) - 2 x = 2 Viewing Saved Work Revert to Last Response Submit Answer View
X = (52) The method for solving log2 (x) + log2 (x + 1) = 1 yields two possible solutions, namely 1 and x = -2. From this, we know (a) both x = 1 and x = -2 are solutions. (b) only x = 1 is a solution. (c) only x = -2 is a solution. (d) neither x = 1 nor x = –2 is a solution.