Solve for x log base 5 of x=3

Problem

(log_5)(x)=3

Solution

1. Identify the logarithmic equation form, which is (log_b)(y)=a

2. Apply the definition of a logarithm to rewrite the equation in exponential form y=ba

3. Substitute the given values into the exponential form.

x=5

4. Evaluate the power by multiplying the base by itself the specified number of times.

5⋅5⋅5=125

Final Answer

(log_5)(x)=3⇒x=125

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