f log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:Choices:- 1 3 5

To solve the equation, we first use the property of logarithms that states log(a) + log(b) = log(ab).

So, we can rewrite the equation as:

f log10(5*(5x + 1)) = log10(x + 5) + 1

Then, we can remove the log from both sides of the equation by raising 10 to the power of each side:

10^(f log10(5*(5x + 1))) = 10^(log10(x + 5) + 1)

This simplifies to:

5*(5x + 1) = 10*(x + 5)

Solving this equation for x gives:

25x + 5 = 10x + 50

Subtracting 10x from both sides gives:

15x + 5 = 50

Subtracting 5 from both sides gives:

15x = 45

Finally, dividing both sides by 15 gives:

x = 3

So, the solution to the equation is x = 3.