Writing u = 5 ^x and v = 13 ^ x one gets u - v = ( u^2 * ( u - v)) ^ (1/3) ( u - v) ^3 = u ^3 - u ^2 * v (u - v) ^2 = u^2 v^2 - 2 u v = 0 v ( v /u - 2 ) = 0 13 ^ x * ( ( 13/5) ^x - 2) = 0 x lg ( 13/5) = 1 Herein lg ( z) designates log of z to the base 2 x = 1/ lg (2.6)
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Writing u = 5 ^x and v = 13 ^ x one gets
u - v = ( u^2 * ( u - v)) ^ (1/3)
( u - v) ^3 = u ^3 - u ^2 * v
(u - v) ^2 = u^2
v^2 - 2 u v = 0
v ( v /u - 2 ) = 0
13 ^ x * ( ( 13/5) ^x - 2) = 0
x lg ( 13/5) = 1
Herein lg ( z) designates log of z to the base 2
x = 1/ lg (2.6)
PLAN?????325=25x13.THE plan is what teaches!!