<p>The real value of <img alt="$x$" height="10" src="https://latex.artofproblemsolving.com/2/6/e/26eeb5258ca5099acf8fe96b2a1049c48c89a5e6.png" width="12" /> such that <img alt="$64^{x-1}$" height="15" src="https://latex.artofproblemsolving.com/6/9/6/696167aeaffaf683c282049d633360ae4b9b27eb.png" width="41" /> divided by <img alt="$4^{x-1}$" height="15" src="https://latex.artofproblemsolving.com/c/a/5/ca591548448b794ea79a3054c89207caa93e0a54.png" width="32" /> equals <img alt="$256^{2x}$" height="15" src="https://latex.artofproblemsolving.com/3/f/7/3f76a18b37f9747bf9484d388359f961c37e9076.png" width="40" /> is:</p>

Question No: 299

The real value of $x$ such that $64^{x-1}$ divided by $4^{x-1}$ equals $256^{2x}$ is:

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Tags: Algebra Probability

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