Question

Solve the following logarithmic equat log(7)(x+3)=log(7)4

Answer 1

To solve log7(x+3) = log74, we equate x + 3 to 4 and solve for x, giving us x = 1.

Step-by-step explanation:

To solve the logarithmic equation log(7)(x+3) = log(7)4, we can use the property of logarithms that log(a)b = log(a)c if and only if b = c.

To solve the logarithmic equation log7(x+3) = log74, we can use the property of logarithms that states if loga(b) = loga(c), then b = c. Applying this property here, we set x+3 equal to 4:

x + 3 = 4

Subtracting 3 from both sides gives us:

x = 4 - 3

x = 1

Now we have found that x = 1 satisfies the given equation.