Asked by randall
I have to solve the equation by finding the exact solution. Please Help.
1/4 log(x)-log(10000)=4
1/4 log(x)-log(10000)=4
Answers
Answered by
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
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
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