Solve 6 12 In 3x 8 solve 2 4r 2r 8 suppose a bank offer

Solve 6 - 1/2 In (3x) = 8. solve 2 + 4^r + 2^r = 8. suppose a bank offers an interest rate of 2 percentage per annum (yearly) on a savings account that is compound continuously. A person deposits dollar 3,00 in the bank. how long does it take for dollar 3,000 to triple? find the exact values of csc (45 degree), cot (30 degree), sec(60 degree), cos(57 degree) and tan (60 degree).

Solution

6) 6 -(1/2)ln(3x) =8

(1/2)ln(3x) =6-8

(1/2)ln(3x) =-2

ln(3x) =-2*2

ln(3x)=-4

3x=e^-4

x=(1/3)e^-4

7)2+4^x+2^x=8

4^x+2^x=6

4^x+2^x=4+2

x =1