Solve for x in the following equations. Express irrational solutions as decimals

Question

Solve for x in the following equations. Express irrational solutions as decimals to the nearest thousandth. 13, 5, 5, pts 1, x = 1086 (216) 2, 5x+2= 22x-1 3, log(x + 25) = log(x + 10) + log 4 4. Graph y = log3 x. 13 pts 5. Find the future value and interest earned if $56,000 is invested at 5% compounded a. quarterly for 8 years. b. continuously for 15 years. 3 pts) 3 pts] 6. What amount should be invested now to obtain $10,000 in 10 years, if interest is 3% compounded monthly? 13 pts 7. Use the properties of logarithms to rewrite the expression. Then evaluate when loga 15, loga y = 3, and loga z = 4.5. 14 pts] x2y3 loga 12.5 in. 18 pts) 8. Solve right triangle ABC ifA = 3430 and c 2, and 9. Find the five remaining trigonometric function values given that tan cos

Explanation / Answer

1.x=log6(1/216) = log6(6-3)=-3log66=-3

2.5x+2=22x-1

log 5x+2=log 22x-1

(x+2)log 5=(2x-1)log2

x=(2log 2-log5)/(2log5 +log 2)

x=-0.057

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