Question

Fill in the Blanks :-
21. If 9x3=
${3}^{6} then \: n \: is$
​

Answer 1

Step-by-step explanation:

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:

18 is answer

Step-by-step explanation:

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