Question

27. If 9x3n = 36⁶,find the value of n. class 7 math
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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.

Thanks

Answer 2

Answer:

9 × 3 (n) = 36^6

9×3(n) = 2176782336

3n = 241864704

n = 80621568