Phương trình log_(25)(x+1)=(1)/(2) có nghiệm là A x=(23)/(2) B x=4 C x=6 D x=-6

1. **Rewrite the logarithmic equation in exponential form:** <br /> $log_{25}(x+1) = \frac{1}{2}$ is equivalent to $25^{1/2} = x+1$<br /><br />2. **Simplify the exponential term:**<br /> $25^{1/2} = \sqrt{25} = 5$<br /><br />3. **Solve for x:**<br /> $5 = x + 1$<br /> $x = 4$<br /><br />**Therefore, the correct answer is B: x = 4** <br />