A student claims that since $\log _{b} x=a$ is not defined for negative values of $x$, then a must also not be negative. What is wrong with this statement?

Name: A student claims that since $\log _{b} x=a$ is not defined for negative values of $x$, then a must also not be negative. What is wrong with this statement?
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The Answer of A student claims that since $\log _{b} x=a$ is not defined for negative values of $x$, then a must also not be negative. What is wrong with this statement?

A Student Claims That Since log⁡bx=a\log _{b} x=alogb​x=a Is Not Defined for Negative Values Of

A Student Claims That Since $\log _{b} x=a$ Is Not Defined for Negative Values Of