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5. Use the change of base formula and a calculator to evaluate the logarithm log5 9 6. Find the solution of the equation 10^x=40, correct
5. Use the change of base formula and a calculator to evaluate the logarithm log5 9 6. Find the solution of the equation 10^x=40, correct to four decimal places 7. Find the solution of the equation e^x-1=3, correct to four decimal places 8. Solve the equation x^24^x-9(4^x)=0 9. Solve the logarithmic equation ln X=8. Round your answer to the nearest whole number 10. Solve the logarithmic equation log(3x+5)=1 11. Solve the logarithmic equation log2 x+log2(x-7)=3 12. Find the inverse function of f(x)= log2 (x-1) 13. A man invest $4000 in an account that pays 6.5% interest per year, compounded quarterly. How long will it take for the investment to double? Round to two decimal places. Use the formula A=P(1+r/n)^nt 14. Sketch the graphs of the following equations (A) f(x)= e^-x+2 (B) g(x)= -2e^x+2-1 (C) h(x)=ln (-x+1(-1 15. Show that the point (4/5,-3/5) is on the unit circle 16. Find the missing coordinate x of the point (x,-5/13) assuming the point lies on the unit circle in quandrant III 17. Find the exact value of sin 2Pi/3, cos 2Pi/3, and tan 2Pi/3
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