Question

Log5(x+10)=2!!?!?!!!?!!!!!!!

Answer 1

$log_5(x+10)=2; \\ Log5(x+10)=log_525; \\ x+10=25; \\ x=15$

Answer 2

To solve the equation log5(x+10) = 2, we need to isolate the variable x. Here's how you can do it step by step:

Step 1: Rewrite the equation in exponential form using the definition of logarithms. In base 5, 5 raised to the power of 2 equals (x+10):

5^2 = x + 10

Step 2: Simplify the left side of the equation:

25 = x + 10

Step 3: Move the constant term to the other side of the equation:

x = 25 - 10

Step 4: Calculate the result:

x = 15

Therefore, the solution to the equation log5(x+10) = 2 is x = 15.