Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=10051000+8
Alternative Form
x≈406.107171
Evaluate
5log10(x−8)=13
Find the domain
More Steps
Evaluate
x−8>0
Move the constant to the right side
x>0+8
Removing 0 doesn't change the value,so remove it from the expression
x>8
5log10(x−8)=13,x>8
Divide both sides
55log10(x−8)=513
Divide the numbers
log10(x−8)=513
Convert the logarithm into exponential form using the fact that logax=b is equal to x=ab
x−8=10513
Evaluate the power
x−8=1005103
Move the constant to the right-hand side and change its sign
x=1005103+8
Calculate
x=10051000+8
Check if the solution is in the defined range
x=10051000+8,x>8
Solution
x=10051000+8
Alternative Form
x≈406.107171
Show Solution
Graph
