Question

solving equations using properties of logarithms assignment active solve logarithmic equations using the definition of a logarithm. solve the equation \\(\log_{4}(x + 20) = 3\\) \\(x = \square\\) done

Explanation:

Step1: Convert log to exponential form

By the definition of logarithms, if $\log_b(a) = c$, then $b^c = a$. Applying this:
$$4^3 = x + 20$$

Step2: Calculate $4^3$

Compute the value of the exponential term:
$$4^3 = 64$$

Step3: Solve for $x$

Subtract 20 from both sides to isolate $x$:
$$x = 64 - 20$$

Answer:

$44$