Posted by randall on .
I have to solve the equation by finding the exact solution. Please Help.
1/4 log(x)log(10000)=4

Math 
Anonymous,
lgt ( x ) = The base 10 logaritam
lgt ( 10000 ) = 4
( 1/4 ) lgt (x)  lgt( 10000 ) = 4
( 1/4 ) lgt (x)  4 = 4
( 1/4 ) lgt (x) = 4 + 4
( 1/4 ) lgt (x) = 8 Multiply both sides with 4
lgt ( x ) = 32
10 ^ lgt ( x ) = 10 ^ 32
Remark : 10 ^ lgt ( x ) = x
x = 10 ^ 32