Question

2base 2 power ×3 base 5 power​

Answer 1

Let us assume  2log25=x  

Now taking logarithm with base 2 on both sides we get,

log22log25=log2x  [Since  logaax=x ]

or,log25=log2x  

or,x=5  

Actually you can this as a property in logarithm,

mlogmn=n  

I hope the solution above gives you the idea of the proof of this property and helped you to understand it. If any doubt, feel free to ask in the comments.

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Answer 2

2base 2 powerx3base 5power=6base 10power