2. 1/3(log[base2]X -log[base2]Y)
3. log7(3X-2)^2
4. log[base 4] (3XYZ)^2
5. log[base5]Y- 4(log[base5]R + 2 log[base5]T)
6.solve for X: log[base b]36 -log[base b]2 = log[base b] X
please explain in details and show all the work!! thank you very much !!
7.solve for X correct to four decimal places : e^(2x) = 9.7 8. slove for X: 27^(2x+1) = 9^(4x) 9. write a real life problem that could be solved using the formula for interest compounded continuously, A = Pe^(rt) , and solve it
10. the equation for radioactive decay is p=(0.5)^(t/H), where p is the part of a substance with half-life H remaining radioactive after a period of time, t. A given substance has a half-life of 6000 years. after t years, one-fifth of the original sample remains radioactive. find t .
11. slove for x: log[base 4] (x^3 +3x)- log[base 4] (x+5) =1 12. solve for m: 3^(m+1) - 5 = 22 13.solve the system of equations: x^2 +y^2 =25 ; 3y - 4x =0