How to solve this equation (Logarithms)?

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Answer 1 · 2018-03-22T08:30:08

#:."The Soln. Set="{625, 1/625}#.

Using the Change of Base Rule, we get,

#lnx/ln5=16ln5/lnx#.

#:. (lnx)^2=16(ln5)^2=(4ln5)^2#.

#:. lnx=+-4ln5=ln5^(+-4)#.

#:. x=5^(+-4)#.

These roots satisfy the given eqn.

#:."The Soln. Set="{625, 1/625}#.