Final answer to the problem
$x=\frac{7}{2}$
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1
Express the numbers in the equation as logarithms of base $2$
$\log_{2}\left(2x+1\right)=\log_{2}\left(2^{3}\right)$
Learn how to solve equations logarithmiques problems step by step online.
$\log_{2}\left(2x+1\right)=\log_{2}\left(2^{3}\right)$
Learn how to solve equations logarithmiques problems step by step online. log2(2*x+1)=3. Express the numbers in the equation as logarithms of base 2. Apply the formula: \log_{a}\left(x\right)=\log_{a}\left(y\right)\to x=y, where a=2, x=2x+1 and y=2^{3}. Apply the formula: a^b=a^b, where a=2, b=3 and a^b=2^{3}. Apply the formula: x+a=b\to x+a-a=b-a, where a=1, b=8, x+a=b=2x+1=8, x=2x and x+a=2x+1.
Final answer to the problem
$x=\frac{7}{2}$
Exact Numeric Answer
$x=3.5$
