1. Evaluate the indicated expression. log, 729 2. Find a formula for the inverse

Question

1. Evaluate the indicated expression. log, 729 2. Find a formula for the inverse function fof the indicated function f. Ax)6 A) f-1(x)=log log 6 log x f-I(x) = loglo f-'(x) = log(6 C) D) 3. Evaluate the indicated expression, log 625 4. Find the number of digits in the given number. 2.5280 A) 25200 has 1,565 digits B) 25200 has 1,566 digits C) 25200 has 5,202 digits D) 25200 has 1,567 digits 5. Evaluate log," assuming that log6x=17.7. A) 108.85 B) 67.7 C) 885 D) 1,770 6. For x = 4.7 and y = 6.8, evaluate each of the following. Round your answer to four decimal places. a) log(xy) b) (log a)(log y) 7. Evaluate logs(27xy) assuming that logux= 12.5 and logy. 7.3.

Explanation / Answer

Q1) log3729 = log3(36) = 6log33 = 6

Q2) f(x) =y= 6x

taking log both sides :

log(y) = xlog6

x = log(y)/log6

f-1(x) = logx/log6 (option A)

Q3) log5(1/625) = log5(5-4) = -4log55 = -4

Q5) log36 x100 =? , log6x = 17.7

100log36x = 100(log6x/log636) =100(17.7)/log662 =1770/2log66 = 1770/2 = 885 (option C)

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