Solve the equation Write the answer in terms of the common l

Solve the equation. Write the answer in terms of the common logarithm. 2 10^1 - x = 5 The solution set is { }. (Type an exact answer in simplified form. Use a comma to separate answers as needed.)

Solution

2*10^(1-x) = 5

Divide by 2 both sides :
10^(1 - x) = 5/2

So, 1 - x = log(2.5)

So, -x = log(2.5) - 1

Negating :
x = 1 - log(2.5) ----> ANSWER