Math Exponential equation challenge! Can you solve without logarithm?

Exponents and Logarithms in mathematics are usually not a very tough topic to learn. However today, we bring you some challenge on this topic. Give it a try!
Can you solve it without the hints?
Can you solve it after looking at the hints?

Hi guys! I am Tomatho. I share interesting math problems, challenging math questions and sometimes solve exam maths questions submitted by friends. Feel free to submit any questions you'd like to see me solve.

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