evaluate the expression: log3 3^17?

0 ⤊

evaluate the expression: log3 3^17?

2007-12-13 14:20:45 · 4 answers · asked by derrim2000 1 in Science & Mathematics ➔ Mathematics

4 answers

Well, that would be 17.

log ( base b ) x = n if b^n = x

2007-12-13 14:25:01 · answer #1 · answered by jgoulden 7 · 0⤊ 0⤋

log3 3^17

3^x=3^17
x=17

2007-12-13 14:24:43 · answer #2 · answered by vi3t10nisgirl 4 · 0⤊ 0⤋

The answer is 17. If log a of b = c then a^c = b.

2007-12-13 14:25:21 · answer #3 · answered by Kevin 2 · 0⤊ 0⤋

the answer is 17.
When you have x = loga(b^c)
you can ask yourself:
what power of a gives b^c
mathematically that means:
a^x=b^c

In your question it means 3^x=3^17.
Clearly x = 17

2007-12-13 14:27:22 · answer #4 · answered by Capt. Fizzix 1 · 0⤊ 0⤋