Question
Solve the equation
x=5log10(2)1
Alternative Form
x≈0.664386
Evaluate
−6log10(4)×5x=−12
Multiply the terms
−30log10(4)×x=−12
Change the signs on both sides of the equation
30log10(4)×x=12
Divide both sides
30log10(4)30log10(4)×x=30log10(4)12
Divide the numbers
x=30log10(4)12
Cancel out the common factor 6
x=5log10(4)2
Solution
More Steps

Evaluate
5log10(4)2
Simplify
More Steps

Evaluate
5log10(4)
Simplify
5×2log10(2)
Multiply the numbers
10log10(2)
10log10(2)2
Cancel out the common factor 2
5log10(2)1
x=5log10(2)1
Alternative Form
x≈0.664386
Show Solution
