Logarithms problem!?

2 ⤊

Logarithms problem!?

Okay i'm in calculus but i'm just reviewing for school

how do you do a logarithm for this problem?? (need to find "t")

(1.0375)^t= 2

2007-09-09 05:59:43 · 3 answers · asked by Katie 4 in Science & Mathematics ➔ Mathematics

3 answers

t ln 1.0375 = ln 2
t = ln 2 / ln 1.0375
t = 18.8 ( to 1 decimal place )

2007-09-09 06:25:51 · answer #1 · answered by Como 7 · 1⤊ 0⤋

Take the log of both sides:
log( (1.0375)^t ) = log(2)

Now use the log rule for powers log(x^n) = n*log(x):
t*log(1.0375) = log(2)

t = log(2) / log(1.0375)
t â 18.8284

2007-09-09 13:15:51 · answer #2 · answered by MathGuy 6 · 1⤊ 1⤋

t*log(1.0375) = log(2)

t=18.82837 (approx)

2007-09-09 13:07:59 · answer #3 · answered by de4th 4 · 0⤊ 0⤋