What is the value of x in log10 (2x+1)-log10(1)=1

Answer 1

Using the logarithmic property log a - log b = log (a/b), we can rewrite the equation as:

log10 (2x+1) - log10(1) = log10 (2x+1)/1 = log10 (2x+1)

Therefore, the equation becomes:

log10 (2x+1) = 1

Using the definition of logarithms, we can rewrite it as:

10^1 = 2x+1

Simplifying, we get:

10 = 2x+1

Subtracting 1 from both sides, we get:

9 = 2x

Dividing both sides by 2, we get:

x = 4.5

Therefore, the value of x is 4.5.