Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=3521000
Alternative Form
x≈0.38069
Evaluate
52log10(3x)=3
Find the domain
More Steps
Evaluate
3x>0
Rewrite the expression
x>0
52log10(3x)=3,x>0
Divide both sides
5252log10(3x)=523
Divide the numbers
log10(3x)=523
Convert the logarithm into exponential form using the fact that logax=b is equal to x=ab
3x=10523
Use anm=nam to transform the expression
3x=52103
Divide both sides
33x=352103
Divide the numbers
x=352103
Simplify
x=3521000
Check if the solution is in the defined range
x=3521000,x>0
Solution
x=3521000
Alternative Form
x≈0.38069
Show Solution
Graph
