Question

Solve log3 x + log9 x + log81 x = 7/4​

Answer 1

Answer:

81 is the answer for the given problem

Step-by-step explanation:

Given that:-

log3 x + log9 x + log81 x = 7/4

(log a x+log b x=log ab x)

=>log (3×9×81) x=7/4

=>log (2187) x=7/4

writting it into exponential form

=>x⁷/⁴=2187

=>x⁷/⁴=3⁷

=>(x¹/⁴)⁷=3⁷

(a^m=b^m=>a=b)

=>x¹/⁴=3

raising power 4 on both sides

=>(x¹/⁴)⁴=3⁴

=>x=3⁴

=>x=81

The value of x=81