Final answer to the problem
$x=2$
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1
Apply the formula: $\log_{b}\left(x\right)-\log_{b}\left(y\right)$$=\log_{b}\left(\frac{x}{y}\right)$, where $b=x$, $x=100$ and $y=25$
$\log_{x}\left(4\right)=2$
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$\log_{x}\left(4\right)=2$
Learn how to solve problems step by step online. logx(100)-logx(25)=2. Apply the formula: \log_{b}\left(x\right)-\log_{b}\left(y\right)=\log_{b}\left(\frac{x}{y}\right), where b=x, x=100 and y=25. Apply the formula: \log_{a}\left(x\right)=\frac{\log_{x}\left(x\right)}{\log_{x}\left(a\right)}, where a=x and x=4. Apply the formula: \log_{b}\left(b\right)=1, where b=4. Apply the formula: \frac{a}{x}=b\to \frac{x}{a}=\frac{1}{b}, where a=1, b=2 and x=\log_{4}\left(x\right).
Final answer to the problem
$x=2$
