log(logx+10)=1+log(4x-3)

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Solution for log(logx+10)=1+log(4x-3) equation:


Simplifying
log(logx + 10) = 1 + log(4x + -3)

Reorder the terms:
glo(10 + glox) = 1 + log(4x + -3)
(10 * glo + glox * glo) = 1 + log(4x + -3)
(10glo + g2l2o2x) = 1 + log(4x + -3)

Reorder the terms:
10glo + g2l2o2x = 1 + glo(-3 + 4x)
10glo + g2l2o2x = 1 + (-3 * glo + 4x * glo)
10glo + g2l2o2x = 1 + (-3glo + 4glox)

Solving
10glo + g2l2o2x = 1 + -3glo + 4glox

Solving for variable 'g'.

Reorder the terms:
-1 + 10glo + 3glo + -4glox + g2l2o2x = 1 + -3glo + 4glox + -1 + 3glo + -4glox

Combine like terms: 10glo + 3glo = 13glo
-1 + 13glo + -4glox + g2l2o2x = 1 + -3glo + 4glox + -1 + 3glo + -4glox

Reorder the terms:
-1 + 13glo + -4glox + g2l2o2x = 1 + -1 + -3glo + 3glo + 4glox + -4glox

Combine like terms: 1 + -1 = 0
-1 + 13glo + -4glox + g2l2o2x = 0 + -3glo + 3glo + 4glox + -4glox
-1 + 13glo + -4glox + g2l2o2x = -3glo + 3glo + 4glox + -4glox

Combine like terms: -3glo + 3glo = 0
-1 + 13glo + -4glox + g2l2o2x = 0 + 4glox + -4glox
-1 + 13glo + -4glox + g2l2o2x = 4glox + -4glox

Combine like terms: 4glox + -4glox = 0
-1 + 13glo + -4glox + g2l2o2x = 0

The solution to this equation could not be determined.

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