Question

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QA
Question No. 5
If 3raise to 1215=n raise to n what is the value of n​

Answer 1

Answer:

The idea is simple try all numbers x starting from 2 to square root of n (given number). For every x, try x^y where y starts from 2 and increases one by one until either x^y becomes n or greater than n.

Step-by-step explanation:

Answer 2

Answer:

The value of n is 243.

Step-by-step explanation:

Given that :

${3}^{1215} = {n}^{n}$

To find :

• Value of n

Solution :

• Factorising 1215, we get
• 1215 = 3 x 3 x 3 x 3 x 3 x5
• Putting this, we get;

${3}^{3 \times 3 \times 3 \times 3 \times 3 \times 5} = {n}^{n} \\ { {3}^{5 \times (3 \times 3 \times 3 \times 3 \times 3)} } = {n}^{n} \\ {243}^{243} = {n}^{n}$

• Comparing both sides, we get;
• n = 243
• Hence, the value of n is 243.