Question

9×3n=36; . Find the value of n. ​

Answer 1

Answer:

Given that, 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.

Answer 2

Answer:

9 × 3n = 36

3n = 36/9

3n = 4/1

n = 4/3