Solve for x log base 9 of x=3

Problem

(log_9)(x)=3

Solution

1. Identify the logarithmic equation in the form (log_b)(y)=a where the base b=9 the argument y=x and the exponent a=3

2. Rewrite the equation in its equivalent exponential form using the definition ba=y

9=x

3. Calculate the value of the base raised to the power by multiplying 9 by itself three times.

9×9×9=729

4. Solve for x by equating the result of the calculation to the variable.

x=729

Final Answer

(log_9)(x)=3⇒x=729

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