In this math tutorial, I solve the exponential equation 16 to the power of (x−1)/x, times 5ˣ, equals 100, and find all of its solutions in one method. I take the log of both sides, clear the fraction, and factor out (x−2) to get the first solution, x = 2. Then I use what's left to get the second solution, x = −log₅4, which is about −0.86. This is a great problem for olympiad practice, exam prep, or anyone who wants to get better at exponential equations and logarithms.

If you are stuck on equations with variables in the exponent, this step-by-step walkthrough shows you how to break them down without guessing. Watch to the end, try the next problem on your own, and leave a comment if you want me to solve more equations like this. Like the video and subscribe for more math tutorials, olympiad problems, and algebra help.

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