Question

Find the value of x in the following equation: (3)^x-5÷3^-6=3^3​

Answer 1

Answer:

$\huge{\fbox{\fbox{\bigstar{\mathfrak{\red{answer}}}}}}$

${3}^{x}$ ÷ ${3}^{-6}$ = 3³

=> ${3}^{x-(-6)}$ = 3³ ( ${a}^{b}$÷${a}^{c}$= ${a}^{b-c}$ )

=> ${3}^{x+6}$ = 3³

=> x+6 = 3 $\orange{equating\:power\:cause\:base \:are\:same}$]

=> x=3-6

=>$\huge\green{x=-3}$

Step-by-step explanation:

$<marquee>$Hope it helps..