if log base3 of 9 =x, then x =?

5 ⤊

if log base3 of 9 =x, then x =?

can someone show me how to do this log.

2007-12-02 06:07:34 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

Definition
The log of a number to a given base is the power to which the base must be raised to give th number.

In this case the base is taken as 3:-

log 9 = x
3^x = 9
x = 2

2007-12-02 06:20:56 · answer #1 · answered by Como 7 · 3⤊ 1⤋

log base3 of 9 =x
(log 9) / (log 3) = x ----------->since log9=2log3
(2log3) / (log 3) = x
Therefore we cancel out the log 3 from top and bottom
x = 2

2007-12-02 06:18:15 · answer #2 · answered by Anonymous · 1⤊ 1⤋

log_3 9 = log_3 3^2 = 2 log_3 3 = 2
x = 2

2007-12-02 06:16:12 · answer #3 · answered by norman 7 · 1⤊ 0⤋