Write in Exponential Form log base 3 of x+4=-3

Problem

(log_3)(x+4)=−3

Solution

1. Identify the components of the logarithmic equation (log_b)(y)=a where the base is b=3 the argument is y=x+4 and the exponent is a=−3

2. Apply the definition of a logarithm, which states that (log_b)(y)=a is equivalent to the exponential form ba=y

3. Substitute the values into the exponential form to rewrite the equation.

Final Answer

(log_3)(x+4)=−3⇔3(−3)=x+4

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