Question 130661

{{{log(x,(7))=1/2}}} Start with the given equation. 



{{{x^(1/2)=7}}} Rewrite the equation using the property: {{{log(b,(x))=y}}} ====> {{{b^y=x}}}



{{{sqrt(x)=7}}} Convert from exponent notation to radical notation. In other words, rewrite {{{x^(1/2)}}} as {{{sqrt(x)}}}


{{{x=7^2}}} Square both sides to isolate x



{{{x=49}}} Square 7 to get 49 



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Answer:


So our solution is {{{x=49}}}