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Question

please answer with a step by step response:

1. 4^5x+1=16^2x-3
2. logx+log(x-3)=1

Answer 1

4^5x+1 = 16^2x-3

(2²)^5x+1 = (2⁴)^2x-3

2^10x+1 = 2^{8x -12}

lox x + log (x+3) = 1

log x(x + 3) = 1

x(x + 3) = 10