Question

8^x=2 write down the value of x

Answer 1

Answer:

x = $\frac{1}{3}$

Step-by-step explanation:

Using the rule of exponents

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

Note that 8 = 2³ and 2 = $2^{1}$, then

$(2^3)^{x}$ = $2^{1}$, that is

$2^{3x}$ = $2^{1}$

Since the bases on both sides are equal, equate the exponents

3x = 1 ( divide both sides by 3 )

x = $\frac{1}{3}$