How do you solve #3^(4x) = 3^(5-x)#?
Multiply both sides by
Comparing just the indices
Notice from the outset that the two exponents must be equal, since their bases are both
#color(red)3^color(blue)(4x)=color(red)3^color(blue)(5-x)" "=>" "color(blue)(4x)=color(blue)(5-x)" "=>" "5x=5#
As a Real-valued function of Real numbers,
Divide both sides by