Question

write your explanation of each step as you would explain the following algebraic problem to a learner 2.3^x=162

Answer 1

$2×3^x=162$

Divide each side by 2

$3^x=81$

We find the prime factors of 81.

$81=3^4$

Then

$3^x=3^4$

Since both sides the equation has the same base 3,

set each exponents in the left hand and the right hand sides to be equal.

x=4

Hence, the solution is x=4