SOLUTION: what is the solution to the following question: log base 4 of sqrt 2x-5=x+1

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Question 858145: what is the solution to the following question: log base 4 of sqrt 2x-5=x+1
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
log%284%2Csqrt%282x-5%29%29=x%2B1

log%284%2C%282x-5%29%5E%280.5%29%29=x%2B1
%280.5%29log%284%2C2x-5%29=x%2B1
log%284%2C2x-5%29=%28x%2B1%29%2F0.5=%28x%2B1%29%2F%281%2F2%29
log%284%2C2x-4%29=2x%2B2
The best next step is to restate the equation in exponential form and continue to solve for x. I stop here and let you finish.