Question 1181883
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The statement of the problem is incomplete, or else uses bad grammar.<br>
"...and then the exponents could be equated to give the equation"<br>
What is that supposed to mean?!<br>
Presumably the problem was about expressing 4 and 32 as powers of 2 to solve the given equation for x.<br>
But the equation as you show it can NOT be solved simply by expressing 4 and 32 as powers of 2.<br>
"4^x+6=32^6x-5"<br>
Here is how the program on this website interprets that: {{{4^x+6=32^6x-5}}}<br>
I was a bit surprised by that interpretation; I thought it would be interpreted as "4^x+6=32^(6x)-5" = {{{4^x+6=32^(6x)-5}}}<br>
But neither of those interpretations allows for solving for x just by expressing 4 and 32 as powers of 2.<br>
The trouble with your post is that you were very sloppy in your use of parentheses (or the absence of your use of them).<br>
If the equation is to be solved for x by expressing 4 and 32 as powers of 2, then the given equation MUST read "4^(x+6)=32^(6x-5)" --> {{{4^(x+6)=32^(6x-5)}}}<br>
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In the end, I have no idea if I have helped you with your question, because I can't determine from your post what the question was....<br>
If you post a problem wanting to get help with it, take the time to make sure you have presented the problem correctly before you post it.<br>