Natural Logarithm Function?

5 ⤊

Natural Logarithm Function?

Solve the equation for x by using the natural logarithm function.

1.3^X = 8

I don't know how to solve it using the natural logarithm function (y = ln x).

2007-01-25 12:42:56 · 4 answers · asked by ellenangel364 3 in Science & Mathematics ➔ Mathematics

4 answers

1.3^X = 8
ln (1.3^X) = ln (8)
X ln (1.3) = ln (8)
X = ln (8)/ln(1.3)

2007-01-25 12:51:18 · answer #1 · answered by feanor 7 · 2⤊ 0⤋

3^x=8
take ln for both sides

ln 3^x = ln8

x ln3=ln8
x= 1.89

2007-01-25 12:51:37 · answer #2 · answered by 7 · 1⤊ 1⤋

Take ln of boh sides.You get (remember ln a^b=b*lna)

Xln3 =ln8 so X = ln8/ln3= 1.8928

2007-01-25 12:56:04 · answer #3 · answered by santmann2002 7 · 0⤊ 2⤋

ln (1.3^x) = ln 8
x ln (1.3) = ln 8
x = ln 8 / ln 1.3

2007-01-25 12:51:05 · answer #4 · answered by bequalming 5 · 2⤊ 0⤋