



 
Hi Zuhdina, Unfortunately there is no nice, neat algebraic solution to this problem. You mentioned logarithms and you can take the logarithm of each side to get \[x \log(2) + 3log(5) = 4 \log(x)\] which s no simpler than the equation you had to start. The best you can do is to approximate a solution. My first step would e to define $f(x)$ by \[f(x) = 2^x \times 5^3  x^4\] and use computer software or a graphing calculator to plot $y = f(x)$ and see where the graph crosses the xaxis. The graphing software on my computer gave me The curve is in red so from the graph I can see that $f(x) = 0$ when x is approximately 2.25. To obtain a better approximation I would use Wolfram Alpha. I typed in solve 2^x * 5^3  x^4 = 0 and obtained $x = 2.26014.$ Penny  


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