Math Problem Statement
solve for x. 5^(x+10)=4^-3x
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Exponential Equations
Logarithms
Algebra
Formulas
log(a^b) = b*log(a)
ln(5^{x+10}) = ln(4^{-3x})
x = -10*ln(5) / (ln(5) + 3*ln(4))
Theorems
Logarithmic Power Rule
Properties of Logarithms
Suitable Grade Level
Grades 10-12