Solve for x log base 4 of x=3

Problem

(log_4)(x)=3

Solution

1. Identify the logarithmic equation in the form (log_b)(x)=y where the base b=4 the argument is x and the result y=3

2. Rewrite the equation in its equivalent exponential form using the definition by=x

3. Substitute the known values into the exponential form to get 4=x

4. Calculate the value of the exponent by multiplying the base by itself three times: 4×4×4=64

Final Answer

(log_4)(x)=3⇒x=64

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