Question

3^x X 9^4 = 3^n Find n in terms of x

Answer 1

Answer:

n = x + 8

Step-by-step explanation:

Using the rules of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$

$(a^m)^{n}$ = $a^{mn}$

Then

$3^{x}$ × $9^{4}$ = $3^{n}$

$3^{x}$ ×$(3^2)^{4}$ = $3^{n}$

$3^{x}$ × $3^{8}$ = $3^{n}$

$3^{x+8}$ = $3^{n}$

Since bases on both sides are equal, both 3, then equate exponents

n = x + 8