Book Maths Puzzle Log and Antilog

Find x: logx(4x-3)=2 (i got X=1.25? I can't get my head around these)

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Book Other Question

Q1) A number consists of two digits . The digit at ten's place is 4 times the digit at unit's place . On changing the place of digits , the new number is formed is 54 less than the original number . Find the numbers. Solve for x e^(2In(2x)) = 4