Question

Solve the exponential equations symbolically. Give exact values as answers.

(a) 2^x = 5

(b) 7e^(2x) - 8 = 377

Answer 1

2^x = 5

ln(2^x) = ln(5)

x*ln(2) = ln(5)

x = ln(5)/ln(2)

Answer 2

ahh ok I think I remember

Answer 3

B. is killing me though.

Answer 4

7e^(2x) - 8 = 377

7e^(2x) = 377+8

e^(2x) = 385/7

e^(2x) = 55

ln(e^(2x)) = ln(55)

//ln(e^a) = a

2x = ln(55)

x = (ln(55))/2

Answer 5

ahh ok so I have to get everything off first then I do ln. How in the world didn't I see that.