What is the solution to log7(x – 4) = log7(4x + 5) ?

Both logarithms have the same base, so their arguments would have to be equal: x − 4 = 4x + 5. Solving gives x = −3. But this value makes the arguments −7 and −7, and logarithms of negative numbers are undefined. Therefore, there is no solution; choice E is correct.

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