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f(x)4 3. Find the inverse function. f(x)log,(2x-7) 7* +7 A) B) C) f\"(x)=- f\"(x

ID: 2911804 • Letter: F

Question

f(x)4 3. Find the inverse function. f(x)log,(2x-7) 7* +7 A) B) C) f"(x)=- f"(x)-27'-7 f-1 (x)= 7*-7 7 4. Find the number of digits in the given number. 7590) A) 75s00 has 5,507 digits B) 7500 has 4,649 digits C) 7500 has 4,648 digits D) 75s00 has 4,650 digits 5. Evaluate logap 22. Round your answer to four decimal places. 6. Evaluate log;(27xy) assuming that log: 4.9 and logy 77. 7. Evaluate logs(x3y7) assuming that logo=7.5 and logsy= 7.9. 8. Suppose that you deposit into a savings account one dime on January 1, two dimes on 0. 8379 January 2, four dimes on January 3, and so on, doubling the amount of your deposit each day. After how many days, will your daily deposit exceed $100,000,000 Version 1 Page 1

Explanation / Answer

4) 7^5500

log ( 7^5500) = 5500 log 7

= 4648

so, number of digits in 7^5500 = 4648 + 1

= 4649

option b is correct

7) log 6 (x^3 y^7 )

expanding the logarithm

log 6 ( x^3 ) + log 6 (y^7 )

= 3 log 6 x + 7 log 6 y

plugging the values

= 3 (7.5) + 7 (7.9)

= 77.8