Question

Q 11. If 9 x 3 n = 3^6.then n = *
1. 3
2.4
3. -3
4. 2​

Answer 1

Step-by-step explanation:

$question$

$if \: 9 \times 3n \: - \: 36. \: then \: n \: =$

$answer$

$3. \: - 3$

Answer 2

Given:-

• 9*3^n=3^6

• 3^2*3^n=3^6

• 3^(n+2)=3^6

On taking logrlarithm on both side

• log 3^(n+2)=log3^6
• (n+2)log3=6log3

Cancel log3 from both side,

• n+2 =6

n=4 ,which is required answer.

Note:-

• You can directly compare the exponent if and only if base is equal and greater than 1,because exponential functions are defined for base greater than 1.

: In this case you can use this method also. Just by comparing you can write directly

as

n+2=6,n=4.

THANKS!