Question

3^m=(81)^n=(728)^r=243 the find (3m/4+n)^3 - (4^n+6r)^3

Answer 1

According to given conditions
3^m=243
3^m=3^5
Therefore m=5
now
81^n=243
3^4n=3^5
Therefore
4n=5
n=5/4
Now 729^r=243
3^6r=3^5
Therefore
6r=5
r=5/6


Now putting the following values in required equation u will get the answer
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