Please help me Solve for x using logarithms. Give an exact answer. Do not give a

Question

Please help me Solve for x using logarithms. Give an exact answer. Do not give a decimal approximation. 57 = 600e^-0.6x x = Find the solution of the exponential equation. 90/1 + e^-x = 8 x = In(82) - In(8) x = In(8) - In(90) x = - In(82) x = In(8) - In(82) Solve for x using logarithms. Give an exact answer. Do not enter a decimal approximation. 3 middot 2^x = 7 middot 5^x x = Solve the equation. Give exact answers. Do not use your calculator. E^2x - 7e^x + 6 = 0 x = (smaller value) x = (larger value)

Explanation / Answer

57=600e-0.6x

ln 57=-0.6x ln 600

-0.6x=ln 57/ln 600

x=(1/-0.6)(ln 57/ln600)

Second question

90/(1+e-x)=8

e-x=82/8

-x=ln 82-ln 8

x=ln8-ln82

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