logx logx2 1 log 7 logx 1 log x logx2 4 log 15 logx

logx + log(x^2 - 1) - log 7 - log(x + 1) log x + log(x^2 - 4) - log 15 - log(x + 2) In Exercises 71-78, use common logarithms or natural logarithms and a calculator to evaluate to four decimal places. Log_5 13 log_6 17 log_14 87.5 log_16 57.2 log_0.1 17 log_0.3 19 log_pi 63 log_pi 400 In Exercises 79 82, use a graphing utility and the change-of-base property to graph each function. y = log_3 x y = log_15 x y = log_2 (x + 2) y = log_3(x - 2) In Exercises 83-88, let log_b 2 = A and log_b 3 = C. Write each expression in terms of A and C. log_b 3/2 log_b 6 log_b 8 log_b 81 log_b squareroot 2/27 log_b squareroot 3/16 In Exercises 89-102, determine whether each equation is true or false. Where possible, show work to support your conclusion, the statement is false, make the necessary change(s) to produce true statement. ln e = 0 ln 0 = e

Solution

81. Y=log₂(x+2)

Log_ax=log x/loga

So we get

Y=log(x+2)/log 2

And that\'s the answer